84893872 has 80 divisors (see below), whose sum is σ = 198400000. Its totient is φ = 35138880.

The previous prime is 84893857. The next prime is 84893917. The reversal of 84893872 is 27839848.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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, 169879 + ... + 170377.

It is an arithmetic number, because the mean of its divisors is an integer number (2480000).

Almost surely, 2^84893872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84893872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99200000).

84893872 is an abundant number, since it is smaller than the sum of its proper divisors (113506128).

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

84893872 is a wasteful number, since it uses less digits than its factorization.

84893872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 539 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The square root of 84893872 is about 9213.7870607042. The cubic root of 84893872 is about 439.4999001261.

The spelling of 84893872 in words is "eighty-four million, eight hundred ninety-three thousand, eight hundred seventy-two".