802968 has 16 divisors (see below), whose sum is σ = 2007480. Its totient is φ = 267648.

The previous prime is 802951. The next prime is 802969. The reversal of 802968 is 869208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16705 + ... + 16752.

2⁸⁰²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

802968 is an abundant number, since it is smaller than the sum of its proper divisors (1204512).

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

802968 is a wasteful number, since it uses less digits than its factorization.

802968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33466 (or 33462 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 802968 is about 896.0848174141. The cubic root of 802968 is about 92.9464369562.

It can be divided in two parts, 802 and 968, that added together give a triangular number (1770 = T₅₉).

The spelling of 802968 in words is "eight hundred two thousand, nine hundred sixty-eight".