920164 has 24 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 386976.

The previous prime is 920149. The next prime is 920167. The reversal of 920164 is 461029.

It is not an unprimeable number, because it can be changed into a prime (920167) 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, 1374 + ... + 1930.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

2⁹²⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

920164 is an abundant number, since it is smaller than the sum of its proper divisors (954716).

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

920164 is a wasteful number, since it uses less digits than its factorization.

920164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 920164 is about 959.2517917627. The cubic root of 920164 is about 97.2646614295.

It can be divided in two parts, 9 and 20164, that multiplied together give a square (181476 = 426²).

The spelling of 920164 in words is "nine hundred twenty thousand, one hundred sixty-four".