251070768 has 120 divisors (see below), whose sum is σ = 767763360. Its totient is φ = 76124160.

The previous prime is 251070761. The next prime is 251070793. The reversal of 251070768 is 867070152.

251070768 is a `hidden beast` number, since 2 + 510 + 70 + 76 + 8 = 666.

251070768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251070761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131968 + ... + 133856.

It is an arithmetic number, because the mean of its divisors is an integer number (6398028).

Almost surely, 2^251070768 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 251070768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680).

251070768 is an abundant number, since it is smaller than the sum of its proper divisors (516692592).

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

251070768 is a wasteful number, since it uses less digits than its factorization.

251070768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 251070768 is about 15845.2127786281. The cubic root of 251070768 is about 630.8586327070.

The spelling of 251070768 in words is "two hundred fifty-one million, seventy thousand, seven hundred sixty-eight".