902165264 has 180 divisors, whose sum is σ = 2405805840. Its totient is φ = 323930880.

The previous prime is 902165213. The next prime is 902165267. The reversal of 902165264 is 462561209.

It is a happy number.

902165264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (902165267) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1457147 + ... + 1457765.

It is an arithmetic number, because the mean of its divisors is an integer number (13365588).

Almost surely, 2^902165264 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 902165264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202902920).

902165264 is an abundant number, since it is smaller than the sum of its proper divisors (1503640576).

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

902165264 is a wasteful number, since it uses less digits than its factorization.

902165264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 902165264 is about 30036.0660539958. The cubic root of 902165264 is about 966.2630383600.

The spelling of 902165264 in words is "nine hundred two million, one hundred sixty-five thousand, two hundred sixty-four".