1164172920 has 96 divisors (see below), whose sum is σ = 3710156400. Its totient is φ = 292175872.

The previous prime is 1164172907. The next prime is 1164172943. The reversal of 1164172920 is 292714611.

It is a happy number.

It is a super-2 number, since 2×1164172920² = 2710597175322652800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17896 + ... + 51464.

Almost surely, 2^1164172920 is an apocalyptic number.

1164172920 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 1164172920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855078200).

1164172920 is an abundant number, since it is smaller than the sum of its proper divisors (2545983480).

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

1164172920 is a wasteful number, since it uses less digits than its factorization.

1164172920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33617 (or 33596 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1164172920 is about 34119.9783118337. The cubic root of 1164172920 is about 1051.9759978524.

The spelling of 1164172920 in words is "one billion, one hundred sixty-four million, one hundred seventy-two thousand, nine hundred twenty".