607920 has 80 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 151552.

The previous prime is 607909. The next prime is 607921. The reversal of 607920 is 29706.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 6⁵ + 0 + 9⁵ + 7⁵ + 2¹⁹ + 0 .

It is not an unprimeable number, because it can be changed into a prime (607921) by changing a digit.

607920 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 15 ways as a sum of consecutive naturals, for example, 4006 + ... + 4154.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2⁶⁰⁷⁹²⁰ is an apocalyptic number.

607920 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 607920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400).

607920 is an abundant number, since it is smaller than the sum of its proper divisors (1400880).

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

607920 is a wasteful number, since it uses less digits than its factorization.

607920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 607920 is about 779.6922469795. The cubic root of 607920 is about 84.7127558874.

The spelling of 607920 in words is "six hundred seven thousand, nine hundred twenty".