84218904 has 144 divisors (see below), whose sum is σ = 286737360. Its totient is φ = 21859200.

The previous prime is 84218903. The next prime is 84218917. The reversal of 84218904 is 40981248.

It is a super-2 number, since 2×84218904² = 14185647581922432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84218903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60294 + ... + 61674.

Almost surely, 2^84218904 is an apocalyptic number.

84218904 is a gapful number since it is divisible by the number (84) 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 84218904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143368680).

84218904 is an abundant number, since it is smaller than the sum of its proper divisors (202518456).

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

84218904 is a wasteful number, since it uses less digits than its factorization.

84218904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 84218904 is about 9177.0858119558. The cubic root of 84218904 is about 438.3320182252.

The spelling of 84218904 in words is "eighty-four million, two hundred eighteen thousand, nine hundred four".