253662032 has 80 divisors (see below), whose sum is σ = 584962560. Its totient is φ = 105363456.

The previous prime is 253662029. The next prime is 253662037. The reversal of 253662032 is 230266352.

253662032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253661986 and 253662004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253662037) 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, 79769 + ... + 82887.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^253662032 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 253662032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

253662032 is an abundant number, since it is smaller than the sum of its proper divisors (331300528).

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

253662032 is a wasteful number, since it uses less digits than its factorization.

253662032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 253662032 is about 15926.7709219415. The cubic root of 253662032 is about 633.0215413274.

The spelling of 253662032 in words is "two hundred fifty-three million, six hundred sixty-two thousand, thirty-two".