931381920 has 144 divisors (see below), whose sum is σ = 3632428800. Its totient is φ = 212884992.

The previous prime is 931381897. The next prime is 931381921. The reversal of 931381920 is 29183139.

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

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

It is not an unprimeable number, because it can be changed into a prime (931381921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36120 + ... + 56279.

It is an arithmetic number, because the mean of its divisors is an integer number (25225200).

Almost surely, 2^931381920 is an apocalyptic number.

931381920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

931381920 is an abundant number, since it is smaller than the sum of its proper divisors (2701046880).

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

931381920 is a wasteful number, since it uses less digits than its factorization.

931381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92427 (or 92416 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 931381920 is about 30518.5504242911. The cubic root of 931381920 is about 976.5832422747.

The spelling of 931381920 in words is "nine hundred thirty-one million, three hundred eighty-one thousand, nine hundred twenty".