892864 has 28 divisors (see below), whose sum is σ = 2025904. Its totient is φ = 382464.

The previous prime is 892861. The next prime is 892877. The reversal of 892864 is 468298.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×892864² = 1594412244992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (892861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 549 + ... + 1444.

2⁸⁹²⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

892864 is an abundant number, since it is smaller than the sum of its proper divisors (1133040).

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

892864 is a wasteful number, since it uses less digits than its factorization.

892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2002 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 892864 is about 944.9148109750. The cubic root of 892864 is about 96.2930857867.

The spelling of 892864 in words is "eight hundred ninety-two thousand, eight hundred sixty-four".