1156165920 has 768 divisors, whose sum is σ = 5303854080. Its totient is φ = 228261888.

The previous prime is 1156165919. The next prime is 1156165951. The reversal of 1156165920 is 295616511.

1156165920 is a `hidden beast` number, since 1 + 1 + 5 + 61 + 6 + 592 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 6682954 + ... + 6683126.

It is an arithmetic number, because the mean of its divisors is an integer number (6906060).

Almost surely, 2^1156165920 is an apocalyptic number.

1156165920 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 1156165920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651927040).

1156165920 is an abundant number, since it is smaller than the sum of its proper divisors (4147688160).

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

1156165920 is a wasteful number, since it uses less digits than its factorization.

1156165920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1156165920 is about 34002.4399124533. The cubic root of 1156165920 is about 1049.5586716729.

The spelling of 1156165920 in words is "one billion, one hundred fifty-six million, one hundred sixty-five thousand, nine hundred twenty".