662724 has 36 divisors (see below), whose sum is σ = 1719900. Its totient is φ = 215040.

The previous prime is 662719. The next prime is 662743. The reversal of 662724 is 427266.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 476100 = 432^2 + 690^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1252 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (47775).

2⁶⁶²⁷²⁴ 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 662724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859950).

662724 is an abundant number, since it is smaller than the sum of its proper divisors (1057176).

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

662724 is a wasteful number, since it uses less digits than its factorization.

662724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 662724 is about 814.0786202818. The cubic root of 662724 is about 87.1854940379.

The spelling of 662724 in words is "six hundred sixty-two thousand, seven hundred twenty-four".