253587680 has 48 divisors (see below), whose sum is σ = 630640080. Its totient is φ = 96095232.

The previous prime is 253587667. The next prime is 253587713. The reversal of 253587680 is 86785352.

253587680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253587680² = 128613422895564800, which contains 22 as substring.

It is a congruent number.

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, 38669 + ... + 44748.

It is an arithmetic number, because the mean of its divisors is an integer number (13138335).

Almost surely, 2^253587680 is an apocalyptic number.

253587680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253587680 is an abundant number, since it is smaller than the sum of its proper divisors (377052400).

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

253587680 is a wasteful number, since it uses less digits than its factorization.

253587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83451 (or 83443 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 253587680 is about 15924.4365677408. The cubic root of 253587680 is about 632.9596860356.

The spelling of 253587680 in words is "two hundred fifty-three million, five hundred eighty-seven thousand, six hundred eighty".