920952 has 24 divisors (see below), whose sum is σ = 2494440. Its totient is φ = 306960.

The previous prime is 920951. The next prime is 920957. The reversal of 920952 is 259029.

920952 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 (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920952.

It is not an unprimeable number, because it can be changed into a prime (920951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6324 + ... + 6467.

It is an arithmetic number, because the mean of its divisors is an integer number (103935).

2⁹²⁰⁹⁵² is an apocalyptic number.

It is an amenable number.

920952 is an abundant number, since it is smaller than the sum of its proper divisors (1573488).

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

920952 is a wasteful number, since it uses less digits than its factorization.

920952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12803 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 920952 is about 959.6624406530. The cubic root of 920952 is about 97.2924183239.

It can be divided in two parts, 9209 and 52, that added together give a cube (9261 = 21³).

The spelling of 920952 in words is "nine hundred twenty thousand, nine hundred fifty-two".