84093408 has 216 divisors, whose sum is σ = 285699960. Its totient is φ = 23385600.

The previous prime is 84093403. The next prime is 84093413. The reversal of 84093408 is 80439048.

It is an interprime number because it is at equal distance from previous prime (84093403) and next prime (84093413).

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 (84093403) 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, 832558 + ... + 832658.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^84093408 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 84093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142849980).

84093408 is an abundant number, since it is smaller than the sum of its proper divisors (201606552).

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

84093408 is a wasteful number, since it uses less digits than its factorization.

84093408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 84093408 is about 9170.2457982325. The cubic root of 84093408 is about 438.1141880302.

The spelling of 84093408 in words is "eighty-four million, ninety-three thousand, four hundred eight".