253138680 has 96 divisors (see below), whose sum is σ = 851104800. Its totient is φ = 65173248.

The previous prime is 253138679. The next prime is 253138693. The reversal of 253138680 is 86831352.

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

It is a congruent number.

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, 1684 + ... + 22563.

It is an arithmetic number, because the mean of its divisors is an integer number (8865675).

Almost surely, 2^253138680 is an apocalyptic number.

253138680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425552400).

253138680 is an abundant number, since it is smaller than the sum of its proper divisors (597966120).

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

253138680 is a wasteful number, since it uses less digits than its factorization.

253138680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24293 (or 24286 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 253138680 is about 15910.3324918117. The cubic root of 253138680 is about 632.5858944835.

The spelling of 253138680 in words is "two hundred fifty-three million, one hundred thirty-eight thousand, six hundred eighty".