253135680 has 224 divisors, whose sum is σ = 928542720. Its totient is φ = 57231360.

The previous prime is 253135643. The next prime is 253135691. The reversal of 253135680 is 86531352.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933945 + ... + 934215.

It is an arithmetic number, because the mean of its divisors is an integer number (4145280).

Almost surely, 2^253135680 is an apocalyptic number.

253135680 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 253135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464271360).

253135680 is an abundant number, since it is smaller than the sum of its proper divisors (675407040).

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

253135680 is a wasteful number, since it uses less digits than its factorization.

253135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 253135680 is about 15910.2382131758. The cubic root of 253135680 is about 632.5833955039.

The spelling of 253135680 in words is "two hundred fifty-three million, one hundred thirty-five thousand, six hundred eighty".