930157920 has 144 divisors (see below), whose sum is σ = 3341323440. Its totient is φ = 234980352.

The previous prime is 930157913. The next prime is 930157937. The reversal of 930157920 is 29751039.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×930157920² = 1730387512277452800, 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 23 ways as a sum of consecutive naturals, for example, 10362 + ... + 44358.

It is an arithmetic number, because the mean of its divisors is an integer number (23203635).

Almost surely, 2^930157920 is an apocalyptic number.

930157920 is a gapful number since it is divisible by the number (90) 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 930157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670661720).

930157920 is an abundant number, since it is smaller than the sum of its proper divisors (2411165520).

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

930157920 is a wasteful number, since it uses less digits than its factorization.

930157920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34037 (or 34026 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 930157920 is about 30498.4904544471. The cubic root of 930157920 is about 976.1552539011.

The spelling of 930157920 in words is "nine hundred thirty million, one hundred fifty-seven thousand, nine hundred twenty".