902164224 has 144 divisors (see below), whose sum is σ = 2612640800. Its totient is φ = 274710528.

The previous prime is 902164217. The next prime is 902164261. The reversal of 902164224 is 422461209.

902164224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 902164191 and 902164200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087842 + ... + 1088670.

Almost surely, 2^902164224 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 902164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306320400).

902164224 is an abundant number, since it is smaller than the sum of its proper divisors (1710476576).

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

902164224 is a wasteful number, since it uses less digits than its factorization.

902164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 902164224 is about 30036.0487414706. The cubic root of 902164224 is about 966.2626670629.

The spelling of 902164224 in words is "nine hundred two million, one hundred sixty-four thousand, two hundred twenty-four".