842712 has 64 divisors (see below), whose sum is σ = 2362080. Its totient is φ = 248832.

The previous prime is 842701. The next prime is 842729. The reversal of 842712 is 217248.

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

Its product of digits (896) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11508 + ... + 11580.

2⁸⁴²⁷¹² 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 842712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181040).

842712 is an abundant number, since it is smaller than the sum of its proper divisors (1519368).

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

842712 is a wasteful number, since it uses less digits than its factorization.

842712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 842712 is about 917.9934640290. The cubic root of 842712 is about 94.4553132692.

It can be divided in two parts, 8427 and 12, that multiplied together give a square (101124 = 318²).

The spelling of 842712 in words is "eight hundred forty-two thousand, seven hundred twelve".