1161245840 has 80 divisors (see below), whose sum is σ = 2804820480. Its totient is φ = 446584320.

The previous prime is 1161245807. The next prime is 1161245849. The reversal of 1161245840 is 485421611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1161245797 and 1161245806.

It is not an unprimeable number, because it can be changed into a prime (1161245849) 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 15 ways as a sum of consecutive naturals, for example, 627797 + ... + 629643.

It is an arithmetic number, because the mean of its divisors is an integer number (35060256).

Almost surely, 2^1161245840 is an apocalyptic number.

1161245840 is a gapful number since it is divisible by the number (10) 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 1161245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402410240).

1161245840 is an abundant number, since it is smaller than the sum of its proper divisors (1643574640).

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

1161245840 is a wasteful number, since it uses less digits than its factorization.

1161245840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1161245840 is about 34077.0573846980. The cubic root of 1161245840 is about 1051.0935968064.

The spelling of 1161245840 in words is "one billion, one hundred sixty-one million, two hundred forty-five thousand, eight hundred forty".