84442680 has 144 divisors (see below), whose sum is σ = 319311720. Its totient is φ = 19297152.

The previous prime is 84442661. The next prime is 84442697. The reversal of 84442680 is 8624448.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15247 + ... + 20033.

Almost surely, 2^84442680 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 84442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159655860).

84442680 is an abundant number, since it is smaller than the sum of its proper divisors (234869040).

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

84442680 is a wasteful number, since it uses less digits than its factorization.

84442680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84442680 is about 9189.2698295349. The cubic root of 84442680 is about 438.7199019946.

The spelling of 84442680 in words is "eighty-four million, four hundred forty-two thousand, six hundred eighty".