1251086672 has 40 divisors (see below), whose sum is σ = 2658258432. Its totient is φ = 565683200.

The previous prime is 1251086663. The next prime is 1251086701. The reversal of 1251086672 is 2766801521.

It is a congruent number.

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, 15008 + ... + 52224.

Almost surely, 2^1251086672 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 1251086672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329129216).

1251086672 is an abundant number, since it is smaller than the sum of its proper divisors (1407171760).

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

1251086672 is a wasteful number, since it uses less digits than its factorization.

1251086672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37427 (or 37421 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 1251086672 is about 35370.7035836156. The cubic root of 1251086672 is about 1077.5294097840.

The spelling of 1251086672 in words is "one billion, two hundred fifty-one million, eighty-six thousand, six hundred seventy-two".