84896560 has 160 divisors (see below), whose sum is σ = 242841600. Its totient is φ = 26956800.

The previous prime is 84896557. The next prime is 84896573. The reversal of 84896560 is 6569848.

It is a self number, because there is not a number n which added to its sum of digits gives 84896560.

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 31 ways as a sum of consecutive naturals, for example, 840510 + ... + 840610.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 2^84896560 is an apocalyptic number.

84896560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84896560 is the 5320-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84896560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

84896560 is an abundant number, since it is smaller than the sum of its proper divisors (157945040).

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

84896560 is a wasteful number, since it uses less digits than its factorization.

84896560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 84896560 is about 9213.9329279087. The cubic root of 84896560 is about 439.5045387148.

The spelling of 84896560 in words is "eighty-four million, eight hundred ninety-six thousand, five hundred sixty".