84468880 has 80 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 31184384.

The previous prime is 84468877. The next prime is 84468887. The reversal of 84468880 is 8886448.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 84468880.

It is not an unprimeable number, because it can be changed into a prime (84468887) 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, 52569 + ... + 54151.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2^84468880 is an apocalyptic number.

84468880 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 84468880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

84468880 is an abundant number, since it is smaller than the sum of its proper divisors (127660400).

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

84468880 is a wasteful number, since it uses less digits than its factorization.

84468880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 84468880 is about 9190.6952946989. The cubic root of 84468880 is about 438.7652711248.

The spelling of 84468880 in words is "eighty-four million, four hundred sixty-eight thousand, eight hundred eighty".