607968 has 36 divisors (see below), whose sum is σ = 1729728. Its totient is φ = 202560.

The previous prime is 607967. The next prime is 607991. The reversal of 607968 is 869706.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 768 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (48048).

2⁶⁰⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

607968 is an abundant number, since it is smaller than the sum of its proper divisors (1121760).

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

607968 is a wasteful number, since it uses less digits than its factorization.

607968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 607968 is about 779.7230277477. The cubic root of 607968 is about 84.7149854051.

Subtracting from 607968 its product of nonzero digits (18144), we obtain a square (589824 = 768²).

The spelling of 607968 in words is "six hundred seven thousand, nine hundred sixty-eight".