952081920 has 360 divisors, whose sum is σ = 3486359448. Its totient is φ = 239984640.

The previous prime is 952081913. The next prime is 952081967. The reversal of 952081920 is 29180259.

952081920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 22141419 + ... + 22141461.

Almost surely, 2^952081920 is an apocalyptic number.

952081920 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 952081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743179724).

952081920 is an abundant number, since it is smaller than the sum of its proper divisors (2534277528).

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

952081920 is a wasteful number, since it uses less digits than its factorization.

952081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 952081920 is about 30855.8247337516. The cubic root of 952081920 is about 983.7651630750.

The spelling of 952081920 in words is "nine hundred fifty-two million, eighty-one thousand, nine hundred twenty".