253187680 has 96 divisors (see below), whose sum is σ = 630975744. Its totient is φ = 95817216.

The previous prime is 253187659. The next prime is 253187717. The reversal of 253187680 is 86781352.

253187680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 393439 + ... + 394081.

It is an arithmetic number, because the mean of its divisors is an integer number (6572664).

Almost surely, 2^253187680 is an apocalyptic number.

253187680 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 253187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315487872).

253187680 is an abundant number, since it is smaller than the sum of its proper divisors (377788064).

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

253187680 is a wasteful number, since it uses less digits than its factorization.

253187680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 253187680 is about 15911.8722971246. The cubic root of 253187680 is about 632.6267083555.

The spelling of 253187680 in words is "two hundred fifty-three million, one hundred eighty-seven thousand, six hundred eighty".