1653116640 has 192 divisors, whose sum is σ = 6064160256. Its totient is φ = 370685952.

The previous prime is 1653116581. The next prime is 1653116659. The reversal of 1653116640 is 466113561.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173439 + ... + 182721.

It is an arithmetic number, because the mean of its divisors is an integer number (31584168).

Almost surely, 2^1653116640 is an apocalyptic number.

1653116640 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 1653116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032080128).

1653116640 is an abundant number, since it is smaller than the sum of its proper divisors (4411043616).

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

1653116640 is a wasteful number, since it uses less digits than its factorization.

1653116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9361 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1653116640 is about 40658.5371109193. The cubic root of 1653116640 is about 1182.4092879176.

The spelling of 1653116640 in words is "one billion, six hundred fifty-three million, one hundred sixteen thousand, six hundred forty".