253621632 has 128 divisors (see below), whose sum is σ = 743702400. Its totient is φ = 75939840.

The previous prime is 253621619. The next prime is 253621639. The reversal of 253621632 is 236126352.

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

It is a self number, because there is not a number n which added to its sum of digits gives 253621632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253621639) 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, 409419 + ... + 410037.

It is an arithmetic number, because the mean of its divisors is an integer number (5810175).

Almost surely, 2^253621632 is an apocalyptic number.

253621632 is a gapful number since it is divisible by the number (22) 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 253621632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371851200).

253621632 is an abundant number, since it is smaller than the sum of its proper divisors (490080768).

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

253621632 is a wasteful number, since it uses less digits than its factorization.

253621632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 253621632 is about 15925.5025666382. The cubic root of 253621632 is about 632.9879330549.

Adding to 253621632 its reverse (236126352), we get a palindrome (489747984).

The spelling of 253621632 in words is "two hundred fifty-three million, six hundred twenty-one thousand, six hundred thirty-two".