1253640960 has 432 divisors, whose sum is σ = 5102461728. Its totient is φ = 280166400.

The previous prime is 1253640931. The next prime is 1253640989. The reversal of 1253640960 is 690463521.

It is a happy number.

1253640960 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 640 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1253640931) and next prime (1253640989).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646980 + ... + 1647740.

It is an arithmetic number, because the mean of its divisors is an integer number (11811254).

Almost surely, 2^1253640960 is an apocalyptic number.

1253640960 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 1253640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551230864).

1253640960 is an abundant number, since it is smaller than the sum of its proper divisors (3848820768).

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

1253640960 is a wasteful number, since it uses less digits than its factorization.

1253640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1253640960 is about 35406.7925686583. The cubic root of 1253640960 is about 1078.2622259103.

The spelling of 1253640960 in words is "one billion, two hundred fifty-three million, six hundred forty thousand, nine hundred sixty".