842013824 has 32 divisors (see below), whose sum is σ = 1684897200. Its totient is φ = 419137792.

The previous prime is 842013793. The next prime is 842013863. The reversal of 842013824 is 428310248.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14567 + ... + 43545.

Almost surely, 2^842013824 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 842013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842448600).

842013824 is an abundant number, since it is smaller than the sum of its proper divisors (842883376).

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

842013824 is a wasteful number, since it uses less digits than its factorization.

842013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29220 (or 29208 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 842013824 is about 29017.4744593667. The cubic root of 842013824 is about 944.2922106012.

The spelling of 842013824 in words is "eight hundred forty-two million, thirteen thousand, eight hundred twenty-four".