253668120 has 32 divisors (see below), whose sum is σ = 761004720. Its totient is φ = 67644800.

The previous prime is 253668119. The next prime is 253668251. The reversal of 253668120 is 21866352.

It is a super-3 number, since 3×253668120³ (a number of 26 digits) contains 333 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, 1056831 + ... + 1057070.

Almost surely, 2^253668120 is an apocalyptic number.

253668120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253668120 is an abundant number, since it is smaller than the sum of its proper divisors (507336600).

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

253668120 is a wasteful number, since it uses less digits than its factorization.

253668120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113915 (or 2113911 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 253668120 is about 15926.9620455377. The cubic root of 253668120 is about 633.0266055517.

The spelling of 253668120 in words is "two hundred fifty-three million, six hundred sixty-eight thousand, one hundred twenty".