253638760 has 32 divisors (see below), whose sum is σ = 574001640. Its totient is φ = 100866304.

The previous prime is 253638757. The next prime is 253638823. The reversal of 253638760 is 67836352.

253638760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 235131556 + 18507204 = 15334^2 + 4302^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11407 + ... + 25246.

Almost surely, 2^253638760 is an apocalyptic number.

253638760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253638760 is an abundant number, since it is smaller than the sum of its proper divisors (320362880).

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

253638760 is a wasteful number, since it uses less digits than its factorization.

253638760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36837 (or 36833 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 253638760 is about 15926.0403113894. The cubic root of 253638760 is about 633.0021820672.

The spelling of 253638760 in words is "two hundred fifty-three million, six hundred thirty-eight thousand, seven hundred sixty".