84981888 has 96 divisors (see below), whose sum is σ = 248227200. Its totient is φ = 27901440.

The previous prime is 84981839. The next prime is 84981899. The reversal of 84981888 is 88818948.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 81273 + ... + 82311.

It is an arithmetic number, because the mean of its divisors is an integer number (2585700).

Almost surely, 2^84981888 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 84981888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124113600).

84981888 is an abundant number, since it is smaller than the sum of its proper divisors (163245312).

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

84981888 is a wasteful number, since it uses less digits than its factorization.

84981888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1115 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 54.

The square root of 84981888 is about 9218.5621438487. The cubic root of 84981888 is about 439.6517354370.

The spelling of 84981888 in words is "eighty-four million, nine hundred eighty-one thousand, eight hundred eighty-eight".