253664020 has 24 divisors (see below), whose sum is σ = 533017800. Its totient is φ = 101404032.

The previous prime is 253664017. The next prime is 253664053. The reversal of 253664020 is 20466352.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8678916 + 244985104 = 2946^2 + 15652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253664020.

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, 45126 + ... + 50434.

It is an arithmetic number, because the mean of its divisors is an integer number (22209075).

Almost surely, 2^253664020 is an apocalyptic number.

253664020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253664020 is an abundant number, since it is smaller than the sum of its proper divisors (279353780).

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

253664020 is a wasteful number, since it uses less digits than its factorization.

253664020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 253664020 is about 15926.8333324613. The cubic root of 253664020 is about 633.0231950285.

The spelling of 253664020 in words is "two hundred fifty-three million, six hundred sixty-four thousand, twenty".