952992 has 48 divisors (see below), whose sum is σ = 2782080. Its totient is φ = 317376.

The previous prime is 952981. The next prime is 952997. The reversal of 952992 is 299259.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 952992.

It is not an unprimeable number, because it can be changed into a prime (952997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (57960).

2⁹⁵²⁹⁹² 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 952992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391040).

952992 is an abundant number, since it is smaller than the sum of its proper divisors (1829088).

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

952992 is a wasteful number, since it uses less digits than its factorization.

952992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1108 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 952992 is about 976.2130914918. The cubic root of 952992 is about 98.4078518422.

The spelling of 952992 in words is "nine hundred fifty-two thousand, nine hundred ninety-two".