253887656 has 96 divisors (see below), whose sum is σ = 563652000. Its totient is φ = 106275840.

The previous prime is 253887637. The next prime is 253887677. The reversal of 253887656 is 656788352.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703870 + ... + 1704018.

It is an arithmetic number, because the mean of its divisors is an integer number (5871375).

Almost surely, 2^253887656 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 253887656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281826000).

253887656 is an abundant number, since it is smaller than the sum of its proper divisors (309764344).

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

253887656 is a wasteful number, since it uses less digits than its factorization.

253887656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 50.

The square root of 253887656 is about 15933.8525159486. The cubic root of 253887656 is about 633.2091696269.

The spelling of 253887656 in words is "two hundred fifty-three million, eight hundred eighty-seven thousand, six hundred fifty-six".