253618960 has 80 divisors (see below), whose sum is σ = 680599296. Its totient is φ = 86091264.

The previous prime is 253618957. The next prime is 253618961. The reversal of 253618960 is 69816352.

253618960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (253618961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55482 + ... + 59878.

Almost surely, 2^253618960 is an apocalyptic number.

253618960 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 253618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340299648).

253618960 is an abundant number, since it is smaller than the sum of its proper divisors (426980336).

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

253618960 is a wasteful number, since it uses less digits than its factorization.

253618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 253618960 is about 15925.4186758151. The cubic root of 253618960 is about 632.9857101245.

The spelling of 253618960 in words is "two hundred fifty-three million, six hundred eighteen thousand, nine hundred sixty".