253680756 has 48 divisors (see below), whose sum is σ = 677322240. Its totient is φ = 72390240.

The previous prime is 253680727. The next prime is 253680773. The reversal of 253680756 is 657086352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97075 + ... + 99653.

It is an arithmetic number, because the mean of its divisors is an integer number (14110880).

Almost surely, 2^253680756 is an apocalyptic number.

It is an amenable number.

253680756 is an abundant number, since it is smaller than the sum of its proper divisors (423641484).

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

253680756 is a wasteful number, since it uses less digits than its factorization.

253680756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 253680756 is about 15927.3587264179. The cubic root of 253680756 is about 633.0371163869.

The spelling of 253680756 in words is "two hundred fifty-three million, six hundred eighty thousand, seven hundred fifty-six".