607104 has 96 divisors (see below), whose sum is σ = 1909440. Its totient is φ = 184320.

The previous prime is 607097. The next prime is 607109. The reversal of 607104 is 401706.

607104 = 9³ + 10³ + ... + 39³.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607109) by changing a digit.

607104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19569 + ... + 19599.

It is an arithmetic number, because the mean of its divisors is an integer number (19890).

2⁶⁰⁷¹⁰⁴ is an apocalyptic number.

607104 is a gapful number since it is divisible by the number (64) 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 607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954720).

607104 is an abundant number, since it is smaller than the sum of its proper divisors (1302336).

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

607104 is a wasteful number, since it uses less digits than its factorization.

607104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 607104 is about 779.1687878759. The cubic root of 607104 is about 84.6748361169.

The spelling of 607104 in words is "six hundred seven thousand, one hundred four".