84037842 has 72 divisors (see below), whose sum is σ = 213550272. Its totient is φ = 23814000.

The previous prime is 84037787. The next prime is 84037843. The reversal of 84037842 is 24873048.

It is a junction number, because it is equal to n+sod(n) for n = 84037797 and 84037806.

It is not an unprimeable number, because it can be changed into a prime (84037843) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132867 + ... + 133497.

It is an arithmetic number, because the mean of its divisors is an integer number (2965976).

Almost surely, 2^84037842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84037842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106775136).

84037842 is an abundant number, since it is smaller than the sum of its proper divisors (129512430).

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

84037842 is a wasteful number, since it uses less digits than its factorization.

84037842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84037842 is about 9167.2156078059. The cubic root of 84037842 is about 438.0176698945.

The spelling of 84037842 in words is "eighty-four million, thirty-seven thousand, eight hundred forty-two".