645610560 has 224 divisors, whose sum is σ = 2359590912. Its totient is φ = 146503680.

The previous prime is 645610541. The next prime is 645610561. The reversal of 645610560 is 65016546.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (645610561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283269 + ... + 1283771.

It is an arithmetic number, because the mean of its divisors is an integer number (10533888).

Almost surely, 2^645610560 is an apocalyptic number.

645610560 is a gapful number since it is divisible by the number (60) 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 645610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179795456).

645610560 is an abundant number, since it is smaller than the sum of its proper divisors (1713980352).

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

645610560 is a wasteful number, since it uses less digits than its factorization.

645610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 645610560 is about 25408.8677433687. The cubic root of 645610560 is about 864.2847998013.

The spelling of 645610560 in words is "six hundred forty-five million, six hundred ten thousand, five hundred sixty".