253672320 has 128 divisors (see below), whose sum is σ = 882161280. Its totient is φ = 61491200.

The previous prime is 253672303. The next prime is 253672373. The reversal of 253672320 is 23276352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15115 + ... + 27125.

It is an arithmetic number, because the mean of its divisors is an integer number (6891885).

Almost surely, 2^253672320 is an apocalyptic number.

253672320 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 253672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441080640).

253672320 is an abundant number, since it is smaller than the sum of its proper divisors (628488960).

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

253672320 is a wasteful number, since it uses less digits than its factorization.

253672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12044 (or 12032 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 253672320 is about 15927.0938968790. The cubic root of 253672320 is about 633.0300992204.

The spelling of 253672320 in words is "two hundred fifty-three million, six hundred seventy-two thousand, three hundred twenty".