1653316560 has 240 divisors, whose sum is σ = 6403947264. Its totient is φ = 374427648.

The previous prime is 1653316549. The next prime is 1653316619. The reversal of 1653316560 is 656133561.

1653316560 is a `hidden beast` number, since 1 + 6 + 533 + 1 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568069 + ... + 570971.

Almost surely, 2^1653316560 is an apocalyptic number.

1653316560 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 1653316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201973632).

1653316560 is an abundant number, since it is smaller than the sum of its proper divisors (4750630704).

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

1653316560 is a wasteful number, since it uses less digits than its factorization.

1653316560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1653316560 is about 40660.9955608566. The cubic root of 1653316560 is about 1182.4569509662.

The spelling of 1653316560 in words is "one billion, six hundred fifty-three million, three hundred sixteen thousand, five hundred sixty".