902016 has 96 divisors (see below), whose sum is σ = 2784600. Its totient is φ = 290304.

The previous prime is 902009. The next prime is 902017. The reversal of 902016 is 610209.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 902016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31090 + ... + 31118.

2⁹⁰²⁰¹⁶ is an apocalyptic number.

902016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392300).

902016 is an abundant number, since it is smaller than the sum of its proper divisors (1882584).

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

902016 is an equidigital number, since it uses as much as digits as its factorization.

902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 902016 is about 949.7452289957. The cubic root of 902016 is about 96.6209745744.

The spelling of 902016 in words is "nine hundred two thousand, sixteen".