902735016 has 64 divisors (see below), whose sum is σ = 2311372800. Its totient is φ = 293677248.

The previous prime is 902734979. The next prime is 902735023. The reversal of 902735016 is 610537209.

902735016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×902735016² = 1629861018225040512, which contains 22 as substring.

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, 494281 + ... + 496103.

It is an arithmetic number, because the mean of its divisors is an integer number (36115200).

Almost surely, 2^902735016 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 902735016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155686400).

902735016 is an abundant number, since it is smaller than the sum of its proper divisors (1408637784).

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

902735016 is a wasteful number, since it uses less digits than its factorization.

902735016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 902735016 is about 30045.5490214441. The cubic root of 902735016 is about 966.4664062896.

The spelling of 902735016 in words is "nine hundred two million, seven hundred thirty-five thousand, sixteen".