253604640 has 96 divisors (see below), whose sum is σ = 845873280. Its totient is φ = 63647744.

The previous prime is 253604569. The next prime is 253604671. The reversal of 253604640 is 46406352.

253604640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 253604598 and 253604607.

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, 7380 + ... + 23699.

It is an arithmetic number, because the mean of its divisors is an integer number (8811180).

Almost surely, 2^253604640 is an apocalyptic number.

253604640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253604640 is an abundant number, since it is smaller than the sum of its proper divisors (592268640).

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

253604640 is a wasteful number, since it uses less digits than its factorization.

253604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31114 (or 31106 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 253604640 is about 15924.9690737533. The cubic root of 253604640 is about 632.9737965489.

The spelling of 253604640 in words is "two hundred fifty-three million, six hundred four thousand, six hundred forty".