903900816 has 160 divisors (see below), whose sum is σ = 3193406720. Its totient is φ = 238381056.

The previous prime is 903900799. The next prime is 903900817. The reversal of 903900816 is 618009309.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (903900817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27816 + ... + 50808.

It is an arithmetic number, because the mean of its divisors is an integer number (19958792).

Almost surely, 2^903900816 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 903900816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596703360).

903900816 is an abundant number, since it is smaller than the sum of its proper divisors (2289505904).

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

903900816 is a wasteful number, since it uses less digits than its factorization.

903900816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23030 (or 23018 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 903900816 is about 30064.9433061165. The cubic root of 903900816 is about 966.8822617552.

The spelling of 903900816 in words is "nine hundred three million, nine hundred thousand, eight hundred sixteen".