1161639936 has 288 divisors, whose sum is σ = 3679603200. Its totient is φ = 351682560.

The previous prime is 1161639931. The next prime is 1161639949. The reversal of 1161639936 is 6399361611.

It is a happy number.

1161639936 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 639 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (157464) is a multiple of the sum of its prime divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 1161639891 and 1161639900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161639931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10856395 + ... + 10856501.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 2^1161639936 is an apocalyptic number.

1161639936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161639936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839801600).

1161639936 is an abundant number, since it is smaller than the sum of its proper divisors (2517963264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1161639936 is a wasteful number, since it uses less digits than its factorization.

1161639936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 1161639936 is about 34082.8393183432. The cubic root of 1161639936 is about 1051.2124877759.

The spelling of 1161639936 in words is "one billion, one hundred sixty-one million, six hundred thirty-nine thousand, nine hundred thirty-six".