84008880 has 320 divisors, whose sum is σ = 321408000. Its totient is φ = 20072448.

The previous prime is 84008863. The next prime is 84008891. The reversal of 84008880 is 8880048.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 943876 + ... + 943964.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^84008880 is an apocalyptic number.

84008880 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 84008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

84008880 is an abundant number, since it is smaller than the sum of its proper divisors (237399120).

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

84008880 is a wasteful number, since it uses less digits than its factorization.

84008880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 84008880 is about 9165.6358208255. The cubic root of 84008880 is about 437.9673460363.

The spelling of 84008880 in words is "eighty-four million, eight thousand, eight hundred eighty".