1156792320 has 240 divisors, whose sum is σ = 4120777920. Its totient is φ = 307888128.

The previous prime is 1156792313. The next prime is 1156792381. The reversal of 1156792320 is 232976511.

1156792320 is a `hidden beast` number, since 1 + 1 + 567 + 92 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1156792320² = 2676336943221964800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211579 + ... + 2212101.

It is an arithmetic number, because the mean of its divisors is an integer number (17169908).

Almost surely, 2^1156792320 is an apocalyptic number.

1156792320 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 1156792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060388960).

1156792320 is an abundant number, since it is smaller than the sum of its proper divisors (2963985600).

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

1156792320 is an frugal number, since it uses more digits than its factorization.

1156792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1156792320 is about 34011.6497688660. The cubic root of 1156792320 is about 1049.7481845113.

The spelling of 1156792320 in words is "one billion, one hundred fifty-six million, seven hundred ninety-two thousand, three hundred twenty".