607680 has 84 divisors (see below), whose sum is σ = 2100072. Its totient is φ = 161280.

The previous prime is 607669. The next prime is 607681. The reversal of 607680 is 86706.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2775 + ... + 2985.

2⁶⁰⁷⁶⁸⁰ is an apocalyptic number.

607680 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 607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050036).

607680 is an abundant number, since it is smaller than the sum of its proper divisors (1492392).

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

607680 is a wasteful number, since it uses less digits than its factorization.

607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 607680 is about 779.5383249078. The cubic root of 607680 is about 84.7016065380.

The spelling of 607680 in words is "six hundred seven thousand, six hundred eighty".