253766656 has 88 divisors (see below), whose sum is σ = 596315664. Its totient is φ = 106414080.

The previous prime is 253766627. The next prime is 253766663. The reversal of 253766656 is 656667352.

253766656 is a nontrivial binomial coefficient, being equal to C(22529, 2).

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145566 + ... + 147298.

Almost surely, 2^253766656 is an apocalyptic number.

253766656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

253766656 is the 22528-th triangular number.

253766656 is the 7510-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298157832).

253766656 is an abundant number, since it is smaller than the sum of its proper divisors (342549008).

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

253766656 is a wasteful number, since it uses less digits than its factorization.

253766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1759 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 46.

The square root of 253766656 is about 15930.0551160377. The cubic root of 253766656 is about 633.1085601871.

The spelling of 253766656 in words is "two hundred fifty-three million, seven hundred sixty-six thousand, six hundred fifty-six".