1653040872 has 240 divisors, whose sum is σ = 5462424000. Its totient is φ = 465611328.

The previous prime is 1653040853. The next prime is 1653040913. The reversal of 1653040872 is 2780403561.

1653040872 is a `hidden beast` number, since 1 + 6 + 530 + 40 + 87 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2508079 + ... + 2508737.

It is an arithmetic number, because the mean of its divisors is an integer number (22760100).

Almost surely, 2^1653040872 is an apocalyptic number.

1653040872 is a gapful number since it is divisible by the number (12) 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 1653040872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731212000).

1653040872 is an abundant number, since it is smaller than the sum of its proper divisors (3809383128).

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

1653040872 is a wasteful number, since it uses less digits than its factorization.

1653040872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1653040872 is about 40657.6053402066. The cubic root of 1653040872 is about 1182.3912230185.

The spelling of 1653040872 in words is "one billion, six hundred fifty-three million, forty thousand, eight hundred seventy-two".