903648564 has 288 divisors, whose sum is σ = 2994001920. Its totient is φ = 223305984.

The previous prime is 903648533. The next prime is 903648589. The reversal of 903648564 is 465846309.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5048227 + ... + 5048405.

It is an arithmetic number, because the mean of its divisors is an integer number (10395840).

Almost surely, 2^903648564 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 903648564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497000960).

903648564 is an abundant number, since it is smaller than the sum of its proper divisors (2090353356).

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

903648564 is a wasteful number, since it uses less digits than its factorization.

903648564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 903648564 is about 30060.7478948878. The cubic root of 903648564 is about 966.7923106338.

It can be divided in two parts, 9036 and 48564, that added together give a square (57600 = 240²).

The spelling of 903648564 in words is "nine hundred three million, six hundred forty-eight thousand, five hundred sixty-four".