253633632 has 96 divisors (see below), whose sum is σ = 763386624. Its totient is φ = 72230400.

The previous prime is 253633619. The next prime is 253633637. The reversal of 253633632 is 236336352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×253633632² = 128660038563022848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253633593 and 253633602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253633637) 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, 383382 + ... + 384042.

It is an arithmetic number, because the mean of its divisors is an integer number (7951944).

Almost surely, 2^253633632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253633632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381693312).

253633632 is an abundant number, since it is smaller than the sum of its proper divisors (509752992).

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

253633632 is a wasteful number, since it uses less digits than its factorization.

253633632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its digits is 58320, while the sum is 33.

The square root of 253633632 is about 15925.8793163831. The cubic root of 253633632 is about 632.9979160827.

Adding to 253633632 its reverse (236336352), we get a palindrome (489969984).

The spelling of 253633632 in words is "two hundred fifty-three million, six hundred thirty-three thousand, six hundred thirty-two".