902968 has 32 divisors (see below), whose sum is σ = 1912320. Its totient is φ = 396000.

The previous prime is 902963. The next prime is 902971. The reversal of 902968 is 869209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902963) 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 7 ways as a sum of consecutive naturals, for example, 2563 + ... + 2893.

It is an arithmetic number, because the mean of its divisors is an integer number (59760).

2⁹⁰²⁹⁶⁸ 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 902968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956160).

902968 is an abundant number, since it is smaller than the sum of its proper divisors (1009352).

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

902968 is a wasteful number, since it uses less digits than its factorization.

902968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 902968 is about 950.2462838654. The cubic root of 902968 is about 96.6549543215.

The spelling of 902968 in words is "nine hundred two thousand, nine hundred sixty-eight".