1653516560 has 80 divisors (see below), whose sum is σ = 4079310336. Its totient is φ = 621164544.

The previous prime is 1653516559. The next prime is 1653516563. The reversal of 1653516560 is 656153561.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1653516563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824519 + ... + 826521.

Almost surely, 2^1653516560 is an apocalyptic number.

1653516560 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 1653516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039655168).

1653516560 is an abundant number, since it is smaller than the sum of its proper divisors (2425793776).

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

1653516560 is a wasteful number, since it uses less digits than its factorization.

1653516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 38.

The square root of 1653516560 is about 40663.4548458441. The cubic root of 1653516560 is about 1182.5046292432.

The spelling of 1653516560 in words is "one billion, six hundred fifty-three million, five hundred sixteen thousand, five hundred sixty".