892968 has 32 divisors (see below), whose sum is σ = 2311200. Its totient is φ = 287168.

The previous prime is 892951. The next prime is 892973. The reversal of 892968 is 869298.

It is an unprimeable number.

892968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (72225).

2⁸⁹²⁹⁶⁸ 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 892968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155600).

892968 is an abundant number, since it is smaller than the sum of its proper divisors (1418232).

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

892968 is a wasteful number, since it uses less digits than its factorization.

892968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1317 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 892968 is about 944.9698407886. The cubic root of 892968 is about 96.2968243524.

The spelling of 892968 in words is "eight hundred ninety-two thousand, nine hundred sixty-eight".