84874080 has 96 divisors (see below), whose sum is σ = 269353728. Its totient is φ = 22464000.

The previous prime is 84874033. The next prime is 84874087. The reversal of 84874080 is 8047848.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84874087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71895 + ... + 73065.

It is an arithmetic number, because the mean of its divisors is an integer number (2805768).

Almost surely, 2^84874080 is an apocalyptic number.

84874080 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 84874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134676864).

84874080 is an abundant number, since it is smaller than the sum of its proper divisors (184479648).

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

84874080 is a wasteful number, since it uses less digits than its factorization.

84874080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 84874080 is about 9212.7129554763. The cubic root of 84874080 is about 439.4657427407.

The spelling of 84874080 in words is "eighty-four million, eight hundred seventy-four thousand, eighty".