84986880 has 176 divisors, whose sum is σ = 297126144. Its totient is φ = 20561920.

The previous prime is 84986851. The next prime is 84986899. The reversal of 84986880 is 8868948.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168709 + ... + 169211.

Almost surely, 2^84986880 is an apocalyptic number.

84986880 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 84986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148563072).

84986880 is an abundant number, since it is smaller than the sum of its proper divisors (212139264).

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

84986880 is a wasteful number, since it uses less digits than its factorization.

84986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 84986880 is about 9218.8328979324. The cubic root of 84986880 is about 439.6603439321.

It can be divided in two parts, 849868 and 80, that added together give a palindrome (849948).

The spelling of 84986880 in words is "eighty-four million, nine hundred eighty-six thousand, eight hundred eighty".