84901888 has 32 divisors (see below), whose sum is σ = 169866720. Its totient is φ = 42434560.

The previous prime is 84901877. The next prime is 84901889. The reversal of 84901888 is 88810948.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84901889) by changing a digit.

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 as a sum of consecutive naturals, namely, 31473 + ... + 34063.

It is an arithmetic number, because the mean of its divisors is an integer number (5308335).

Almost surely, 2^84901888 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 84901888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84933360).

84901888 is an abundant number, since it is smaller than the sum of its proper divisors (84964832).

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

84901888 is an frugal number, since it uses more digits than its factorization.

84901888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The square root of 84901888 is about 9214.2220507214. Note that the first 3 decimals coincide. The cubic root of 84901888 is about 439.5137327708.

The spelling of 84901888 in words is "eighty-four million, nine hundred one thousand, eight hundred eighty-eight".