952000 has 112 divisors (see below), whose sum is σ = 2852928. Its totient is φ = 307200.

The previous prime is 951997. The next prime is 952001. The reversal of 952000 is 259.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (952001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55992 + ... + 56008.

2⁹⁵²⁰⁰⁰ 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 952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426464).

952000 is an abundant number, since it is smaller than the sum of its proper divisors (1900928).

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

952000 is a wasteful number, since it uses less digits than its factorization.

952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 952000 is about 975.7048734120. The cubic root of 952000 is about 98.3736946892.

Adding to 952000 its reverse (259), we get a palindrome (952259).

The spelling of 952000 in words is "nine hundred fifty-two thousand".