1250756640 has 480 divisors, whose sum is σ = 5348052864. Its totient is φ = 268738560.

The previous prime is 1250756599. The next prime is 1250756641. The reversal of 1250756640 is 466570521.

It is a happy number.

1250756640 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 7 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 1250756595 and 1250756604.

It is not an unprimeable number, because it can be changed into a prime (1250756641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1541835 + ... + 1542645.

Almost surely, 2^1250756640 is an apocalyptic number.

1250756640 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 1250756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674026432).

1250756640 is an abundant number, since it is smaller than the sum of its proper divisors (4097296224).

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

1250756640 is a wasteful number, since it uses less digits than its factorization.

1250756640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1250756640 is about 35366.0379460295. The cubic root of 1250756640 is about 1077.4346520375.

The spelling of 1250756640 in words is "one billion, two hundred fifty million, seven hundred fifty-six thousand, six hundred forty".