251106960 has 240 divisors, whose sum is σ = 869194368. Its totient is φ = 59904000.

The previous prime is 251106931. The next prime is 251106967. The reversal of 251106960 is 69601152.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251106967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1662885 + ... + 1663035.

Almost surely, 2^251106960 is an apocalyptic number.

251106960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434597184).

251106960 is an abundant number, since it is smaller than the sum of its proper divisors (618087408).

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

251106960 is a wasteful number, since it uses less digits than its factorization.

251106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 251106960 is about 15846.3547858806. The cubic root of 251106960 is about 630.8889441325. Note that the first 3 decimals are identical.

The spelling of 251106960 in words is "two hundred fifty-one million, one hundred six thousand, nine hundred sixty".