842125824 has 120 divisors (see below), whose sum is σ = 2451271680. Its totient is φ = 278304768.

The previous prime is 842125813. The next prime is 842125831. The reversal of 842125824 is 428521248.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 584497 + ... + 585935.

It is an arithmetic number, because the mean of its divisors is an integer number (20427264).

Almost surely, 2^842125824 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 842125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225635840).

842125824 is an abundant number, since it is smaller than the sum of its proper divisors (1609145856).

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

842125824 is a wasteful number, since it uses less digits than its factorization.

842125824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1571 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 842125824 is about 29019.4042668005. The cubic root of 842125824 is about 944.3340769125.

The spelling of 842125824 in words is "eight hundred forty-two million, one hundred twenty-five thousand, eight hundred twenty-four".