902664 has 80 divisors (see below), whose sum is σ = 2904000. Its totient is φ = 256608.

The previous prime is 902659. The next prime is 902669. The reversal of 902664 is 466209.

It is an interprime number because it is at equal distance from previous prime (902659) and next prime (902669).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (902669) by changing a digit.

902664 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 19 ways as a sum of consecutive naturals, for example, 4437 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (36300).

2⁹⁰²⁶⁶⁴ 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 902664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452000).

902664 is an abundant number, since it is smaller than the sum of its proper divisors (2001336).

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

902664 is a wasteful number, since it uses less digits than its factorization.

902664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 902664 is about 950.0863118686. The cubic root of 902664 is about 96.6441062426.

The spelling of 902664 in words is "nine hundred two thousand, six hundred sixty-four".