906164 has 12 divisors (see below), whose sum is σ = 1812384. Its totient is φ = 388344.

The previous prime is 906133. The next prime is 906179. The reversal of 906164 is 461609.

906164 is an admirable number.

It is a super-2 number, since 2×906164² = 1642266389792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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 906164.

It is an unprimeable number.

906164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16154 + ... + 16209.

It is an arithmetic number, because the mean of its divisors is an integer number (151032).

2⁹⁰⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

906164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

906164 is a wasteful number, since it uses less digits than its factorization.

906164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32374 (or 32372 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 906164 is about 951.9264677484. The cubic root of 906164 is about 96.7688548118.

The spelling of 906164 in words is "nine hundred six thousand, one hundred sixty-four".