253632060 has 240 divisors, whose sum is σ = 890854272. Its totient is φ = 59875200.

The previous prime is 253632047. The next prime is 253632079. The reversal of 253632060 is 60236352.

253632060 is a `hidden beast` number, since 25 + 3 + 632 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 766095 + ... + 766425.

Almost surely, 2^253632060 is an apocalyptic number.

253632060 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 253632060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445427136).

253632060 is an abundant number, since it is smaller than the sum of its proper divisors (637222212).

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

253632060 is a wasteful number, since it uses less digits than its factorization.

253632060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 253632060 is about 15925.8299626738. The cubic root of 253632060 is about 632.9966083240.

It can be divided in two parts, 2536 and 32060, that added together give a square (34596 = 186²).

The spelling of 253632060 in words is "two hundred fifty-three million, six hundred thirty-two thousand, sixty".