251616768 has 80 divisors (see below), whose sum is σ = 721943376. Its totient is φ = 77414400.

The previous prime is 251616763. The next prime is 251616793. The reversal of 251616768 is 867616152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251616763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13668 + ... + 26268.

Almost surely, 2^251616768 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 251616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360971688).

251616768 is an abundant number, since it is smaller than the sum of its proper divisors (470326608).

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

251616768 is a wasteful number, since it uses less digits than its factorization.

251616768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12635 (or 12619 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 251616768 is about 15862.4326003296. The cubic root of 251616768 is about 631.3156080160.

The spelling of 251616768 in words is "two hundred fifty-one million, six hundred sixteen thousand, seven hundred sixty-eight".