597920 has 48 divisors (see below), whose sum is σ = 1465128. Its totient is φ = 230400.

The previous prime is 597901. The next prime is 597923. The reversal of 597920 is 29795.

It can be written as a sum of positive squares in 4 ways, for example, as 595984 + 1936 = 772^2 + 44^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (597923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5870 + ... + 5970.

2⁵⁹⁷⁹²⁰ 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 597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732564).

597920 is an abundant number, since it is smaller than the sum of its proper divisors (867208).

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

597920 is a wasteful number, since it uses less digits than its factorization.

597920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 597920 is about 773.2528693772. The cubic root of 597920 is about 84.2456903583.

The spelling of 597920 in words is "five hundred ninety-seven thousand, nine hundred twenty".