253622656 has 128 divisors (see below), whose sum is σ = 623554560. Its totient is φ = 100362240.

The previous prime is 253622641. The next prime is 253622657. The reversal of 253622656 is 656226352.

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

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253622657) 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, 638650 + ... + 639046.

It is an arithmetic number, because the mean of its divisors is an integer number (4871520).

Almost surely, 2^253622656 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 253622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311777280).

253622656 is an abundant number, since it is smaller than the sum of its proper divisors (369931904).

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

253622656 is a wasteful number, since it uses less digits than its factorization.

253622656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The square root of 253622656 is about 15925.5347162976. The cubic root of 253622656 is about 632.9887849522.

The spelling of 253622656 in words is "two hundred fifty-three million, six hundred twenty-two thousand, six hundred fifty-six".