952968 has 32 divisors (see below), whose sum is σ = 2426400. Its totient is φ = 311808.

The previous prime is 952967. The next prime is 952979. The reversal of 952968 is 869259.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (952967) 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, 1080 + ... + 1752.

It is an arithmetic number, because the mean of its divisors is an integer number (75825).

2⁹⁵²⁹⁶⁸ 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 952968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213200).

952968 is an abundant number, since it is smaller than the sum of its proper divisors (1473432).

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

952968 is a wasteful number, since it uses less digits than its factorization.

952968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 737 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 952968 is about 976.2007990163. The cubic root of 952968 is about 98.4070257393.

The spelling of 952968 in words is "nine hundred fifty-two thousand, nine hundred sixty-eight".