952080000 has 160 divisors (see below), whose sum is σ = 3160988160. Its totient is φ = 253824000.

The previous prime is 952079977. The next prime is 952080007. The reversal of 952080000 is 80259.

952080000 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 (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (952080007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238017 + ... + 241983.

It is an arithmetic number, because the mean of its divisors is an integer number (19756176).

Almost surely, 2^952080000 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 952080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580494080).

952080000 is an abundant number, since it is smaller than the sum of its proper divisors (2208908160).

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

952080000 is an equidigital number, since it uses as much as digits as its factorization.

952080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 952080000 is about 30855.7936212958. The cubic root of 952080000 is about 983.7645017767.

The spelling of 952080000 in words is "nine hundred fifty-two million, eighty thousand".