84106880 has 128 divisors (see below), whose sum is σ = 236476800. Its totient is φ = 28200960.

The previous prime is 84106843. The next prime is 84106889. The reversal of 84106880 is 8860148.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 84106880.

It is not an unprimeable number, because it can be changed into a prime (84106889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91061 + ... + 91979.

It is an arithmetic number, because the mean of its divisors is an integer number (1847475).

Almost surely, 2^84106880 is an apocalyptic number.

84106880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118238400).

84106880 is an abundant number, since it is smaller than the sum of its proper divisors (152369920).

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

84106880 is a wasteful number, since it uses less digits than its factorization.

84106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 84106880 is about 9170.9803183738. The cubic root of 84106880 is about 438.1375824885.

It can be divided in two parts, 841068 and 80, that added together give a palindrome (841148).

The spelling of 84106880 in words is "eighty-four million, one hundred six thousand, eight hundred eighty".