1253610720 has 144 divisors (see below), whose sum is σ = 4291101360. Its totient is φ = 333268992.

The previous prime is 1253610707. The next prime is 1253610769. The reversal of 1253610720 is 270163521.

It is a happy number.

1253610720 is a `hidden beast` number, since 1 + 2 + 536 + 107 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 544612 + ... + 546908.

It is an arithmetic number, because the mean of its divisors is an integer number (29799315).

Almost surely, 2^1253610720 is an apocalyptic number.

1253610720 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 1253610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145550680).

1253610720 is an abundant number, since it is smaller than the sum of its proper divisors (3037490640).

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

1253610720 is a wasteful number, since it uses less digits than its factorization.

1253610720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1253610720 is about 35406.3655293790. The cubic root of 1253610720 is about 1078.2535559873.

The spelling of 1253610720 in words is "one billion, two hundred fifty-three million, six hundred ten thousand, seven hundred twenty".