1160792640 has 448 divisors, whose sum is σ = 4959705600. Its totient is φ = 249495552.

The previous prime is 1160792629. The next prime is 1160792653. The reversal of 1160792640 is 462970611.

1160792640 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 7 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 1160792595 and 1160792604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027596 + ... + 1028724.

Almost surely, 2^1160792640 is an apocalyptic number.

1160792640 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 1160792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479852800).

1160792640 is an abundant number, since it is smaller than the sum of its proper divisors (3798912960).

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

1160792640 is a wasteful number, since it uses less digits than its factorization.

1160792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1160792640 is about 34070.4071005910. The cubic root of 1160792640 is about 1050.9568420716.

The spelling of 1160792640 in words is "one billion, one hundred sixty million, seven hundred ninety-two thousand, six hundred forty".