1253600640 has 192 divisors, whose sum is σ = 4372935840. Its totient is φ = 330891264.

The previous prime is 1253600633. The next prime is 1253600651. The reversal of 1253600640 is 460063521.

1253600640 is a `hidden beast` number, since 1 + 2 + 53 + 600 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592224 + ... + 594336.

Almost surely, 2^1253600640 is an apocalyptic number.

1253600640 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 1253600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186467920).

1253600640 is an abundant number, since it is smaller than the sum of its proper divisors (3119335200).

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

1253600640 is a wasteful number, since it uses less digits than its factorization.

1253600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1253600640 is about 35406.2231818080. The cubic root of 1253600640 is about 1078.2506659820.

The spelling of 1253600640 in words is "one billion, two hundred fifty-three million, six hundred thousand, six hundred forty".