610752560 has 80 divisors (see below), whose sum is σ = 1553472000. Its totient is φ = 221464320.

The previous prime is 610752509. The next prime is 610752577. The reversal of 610752560 is 65257016.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406691 + ... + 408189.

It is an arithmetic number, because the mean of its divisors is an integer number (19418400).

Almost surely, 2^610752560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776736000).

610752560 is an abundant number, since it is smaller than the sum of its proper divisors (942719440).

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

610752560 is a wasteful number, since it uses less digits than its factorization.

610752560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 610752560 is about 24713.4085063149. The cubic root of 610752560 is about 848.4412308634.

The spelling of 610752560 in words is "six hundred ten million, seven hundred fifty-two thousand, five hundred sixty".