1011771936 has 144 divisors (see below), whose sum is σ = 3325795200. Its totient is φ = 285778944.

The previous prime is 1011771931. The next prime is 1011771941. The reversal of 1011771936 is 6391771101.

It is an interprime number because it is at equal distance from previous prime (1011771931) and next prime (1011771941).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1011771936.

It is not an unprimeable number, because it can be changed into a prime (1011771931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176605 + ... + 182243.

It is an arithmetic number, because the mean of its divisors is an integer number (23095800).

Almost surely, 2^1011771936 is an apocalyptic number.

1011771936 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 1011771936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662897600).

1011771936 is an abundant number, since it is smaller than the sum of its proper divisors (2314023264).

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

1011771936 is a wasteful number, since it uses less digits than its factorization.

1011771936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 1011771936 is about 31808.3626739887. The cubic root of 1011771936 is about 1003.9086809744.

The spelling of 1011771936 in words is "one billion, eleven million, seven hundred seventy-one thousand, nine hundred thirty-six".