253638 has 64 divisors (see below), whose sum is σ = 714240. Its totient is φ = 64800.

The previous prime is 253637. The next prime is 253639. The reversal of 253638 is 836352.

253638 is a `hidden beast` number, since 25 + 3 + 638 = 666.

253638 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253637) and next prime (253639).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

Its product of digits (4320) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4128 + ... + 4188.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2²⁵³⁶³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

253638 is an abundant number, since it is smaller than the sum of its proper divisors (460602).

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

253638 is a wasteful number, since it uses less digits than its factorization.

253638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 253638 is about 503.6248603872. The cubic root of 253638 is about 63.3001549827.

It can be divided in two parts, 25 and 3638, that added together give a palindrome (3663).

The spelling of 253638 in words is "two hundred fifty-three thousand, six hundred thirty-eight".