607608672 has 96 divisors (see below), whose sum is σ = 1787111424. Its totient is φ = 179136000.

The previous prime is 607608653. The next prime is 607608707. The reversal of 607608672 is 276806706.

607608672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 31297 + ... + 46847.

It is an arithmetic number, because the mean of its divisors is an integer number (18615744).

Almost surely, 2^607608672 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 607608672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893555712).

607608672 is an abundant number, since it is smaller than the sum of its proper divisors (1179502752).

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

607608672 is a wasteful number, since it uses less digits than its factorization.

607608672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15612 (or 15604 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 607608672 is about 24649.7195115888. The cubic root of 607608672 is about 846.9829238547.

The spelling of 607608672 in words is "six hundred seven million, six hundred eight thousand, six hundred seventy-two".