1252592640 has 704 divisors, whose sum is σ = 5199707520. Its totient is φ = 283115520.

The previous prime is 1252592639. The next prime is 1252592687. The reversal of 1252592640 is 462952521.

1252592640 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 5 + 9 + 2 + 640 = 666.

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 = 1252592595 and 1252592604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30551020 + ... + 30551060.

Almost surely, 2^1252592640 is an apocalyptic number.

1252592640 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 1252592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599853760).

1252592640 is an abundant number, since it is smaller than the sum of its proper divisors (3947114880).

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

1252592640 is a wasteful number, since it uses less digits than its factorization.

1252592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1252592640 is about 35391.9855334509. The cubic root of 1252592640 is about 1077.9615871796.

The spelling of 1252592640 in words is "one billion, two hundred fifty-two million, five hundred ninety-two thousand, six hundred forty".