934117920 has 120 divisors (see below), whose sum is σ = 3296703564. Its totient is φ = 249094656.

The previous prime is 934117909. The next prime is 934117967. The reversal of 934117920 is 29711439.

It can be written as a sum of positive squares in 2 ways, for example, as 827367696 + 106750224 = 28764^2 + 10332^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 23079 + ... + 48998.

Almost surely, 2^934117920 is an apocalyptic number.

934117920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

934117920 is an abundant number, since it is smaller than the sum of its proper divisors (2362585644).

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

934117920 is a wasteful number, since it uses less digits than its factorization.

934117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72104 (or 72087 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 934117920 is about 30563.3427491170. The cubic root of 934117920 is about 977.5385681283.

It can be divided in two parts, 9341 and 17920, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 934117920 in words is "nine hundred thirty-four million, one hundred seventeen thousand, nine hundred twenty".