596772 has 54 divisors (see below), whose sum is σ = 1670214. Its totient is φ = 179520.

The previous prime is 596767. The next prime is 596779. The reversal of 596772 is 277695.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 69696 = 726^2 + 264^2 .

It is a super-2 number, since 2×596772² = 712273639968, which contains 22 as substring.

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 (596779) by changing a digit.

596772 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 17 ways as a sum of consecutive naturals, for example, 4288 + ... + 4424.

2⁵⁹⁶⁷⁷² 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 596772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835107).

596772 is an abundant number, since it is smaller than the sum of its proper divisors (1073442).

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

596772 is a wasteful number, since it uses less digits than its factorization.

596772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 596772 is about 772.5101941075. The cubic root of 596772 is about 84.1917388735.

The spelling of 596772 in words is "five hundred ninety-six thousand, seven hundred seventy-two".