956142920 has 64 divisors (see below), whose sum is σ = 2226147840. Its totient is φ = 369216000.

The previous prime is 956142911. The next prime is 956142961. The reversal of 956142920 is 29241659.

It is a super-2 number, since 2×956142920² = 1828418566932252800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744599 + ... + 745881.

It is an arithmetic number, because the mean of its divisors is an integer number (34783560).

Almost surely, 2^956142920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956142920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113073920).

956142920 is an abundant number, since it is smaller than the sum of its proper divisors (1270004920).

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

956142920 is a wasteful number, since it uses less digits than its factorization.

956142920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 956142920 is about 30921.5607626782. The cubic root of 956142920 is about 985.1618928761.

The spelling of 956142920 in words is "nine hundred fifty-six million, one hundred forty-two thousand, nine hundred twenty".