84088000 has 112 divisors (see below), whose sum is σ = 217773504. Its totient is φ = 32102400.

The previous prime is 84087989. The next prime is 84088003. The reversal of 84088000 is 88048.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84088000.

It is not an unprimeable number, because it can be changed into a prime (84088003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183772 + ... + 184228.

Almost surely, 2^84088000 is an apocalyptic number.

84088000 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 84088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108886752).

84088000 is an abundant number, since it is smaller than the sum of its proper divisors (133685504).

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

84088000 is a wasteful number, since it uses less digits than its factorization.

84088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 84088000 is about 9169.9509268044. The cubic root of 84088000 is about 438.1047962028.

The spelling of 84088000 in words is "eighty-four million, eighty-eight thousand".