842724 has 63 divisors (see below), whose sum is σ = 2348857. Its totient is φ = 264384.

The previous prime is 842701. The next prime is 842729. The reversal of 842724 is 427248.

The square root of 842724 is 918.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 656100 + 186624 = 810^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

Its product of digits (3584) is a multiple of the sum of its prime factors (56).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842724.

It is not an unprimeable number, because it can be changed into a prime (842729) by changing a digit.

842724 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 20 ways as a sum of consecutive naturals, for example, 49564 + ... + 49580.

2⁸⁴²⁷²⁴ is an apocalyptic number.

842724 is the 918-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842724

842724 is an abundant number, since it is smaller than the sum of its proper divisors (1506133).

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

842724 is a wasteful number, since it uses less digits than its factorization.

842724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 22 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The cubic root of 842724 is about 94.4557616068.

The spelling of 842724 in words is "eight hundred forty-two thousand, seven hundred twenty-four".