607642560 has 560 divisors, whose sum is σ = 2628863424. Its totient is φ = 130056192.

The previous prime is 607642559. The next prime is 607642571. The reversal of 607642560 is 65246706.

607642560 is a `hidden beast` number, since 6 + 0 + 7 + 642 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3084382 + ... + 3084578.

Almost surely, 2^607642560 is an apocalyptic number.

607642560 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 607642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314431712).

607642560 is an abundant number, since it is smaller than the sum of its proper divisors (2021220864).

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

607642560 is a wasteful number, since it uses less digits than its factorization.

607642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 607642560 is about 24650.4068931935. The cubic root of 607642560 is about 846.9986697479.

The spelling of 607642560 in words is "six hundred seven million, six hundred forty-two thousand, five hundred sixty".