1653996960 has 432 divisors, whose sum is σ = 7166027232. Its totient is φ = 343526400.

The previous prime is 1653996959. The next prime is 1653997003. The reversal of 1653996960 is 696993561.

It is a happy number.

1653996960 is a `hidden beast` number, since 16 + 539 + 9 + 6 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1653996897 and 1653996906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 775095 + ... + 777225.

It is an arithmetic number, because the mean of its divisors is an integer number (16588026).

Almost surely, 2^1653996960 is an apocalyptic number.

1653996960 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 1653996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583013616).

1653996960 is an abundant number, since it is smaller than the sum of its proper divisors (5512030272).

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

1653996960 is a wasteful number, since it uses less digits than its factorization.

1653996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 1653996960 is about 40669.3614407701. The cubic root of 1653996960 is about 1182.6191367584.

The spelling of 1653996960 in words is "one billion, six hundred fifty-three million, nine hundred ninety-six thousand, nine hundred sixty".