253063680 has 160 divisors (see below), whose sum is σ = 820822464. Its totient is φ = 66502656.

The previous prime is 253063661. The next prime is 253063691. The reversal of 253063680 is 86360352.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×253063680² = 128082452270284800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637242 + ... + 637638.

Almost surely, 2^253063680 is an apocalyptic number.

253063680 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 253063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410411232).

253063680 is an abundant number, since it is smaller than the sum of its proper divisors (567758784).

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

253063680 is an equidigital number, since it uses as much as digits as its factorization.

253063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 253063680 is about 15907.9753582912. The cubic root of 253063680 is about 632.5234140697.

The spelling of 253063680 in words is "two hundred fifty-three million, sixty-three thousand, six hundred eighty".