1250887680 has 432 divisors, whose sum is σ = 5061370860. Its totient is φ = 284884992.

The previous prime is 1250887669. The next prime is 1250887697. The reversal of 1250887680 is 867880521.

1250887680 is a `hidden beast` number, since 1 + 2 + 508 + 87 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1174569984 + 76317696 = 34272^2 + 8736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515702 + ... + 4515978.

Almost surely, 2^1250887680 is an apocalyptic number.

1250887680 is a gapful number since it is divisible by the number (10) 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 1250887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530685430).

1250887680 is an abundant number, since it is smaller than the sum of its proper divisors (3810483180).

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

1250887680 is a wasteful number, since it uses less digits than its factorization.

1250887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1250887680 is about 35367.8905223368. The cubic root of 1250887680 is about 1077.4722778239.

The spelling of 1250887680 in words is "one billion, two hundred fifty million, eight hundred eighty-seven thousand, six hundred eighty".