84240000 has 400 divisors, whose sum is σ = 337368570. Its totient is φ = 20736000.

The previous prime is 84239957. The next prime is 84240011. The reversal of 84240000 is 4248.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 627264 + 83612736 = 792^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479994 + ... + 6480006.

Almost surely, 2^84240000 is an apocalyptic number.

84240000 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 84240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168684285).

84240000 is an abundant number, since it is smaller than the sum of its proper divisors (253128570).

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

84240000 is an equidigital number, since it uses as much as digits as its factorization.

84240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 84240000 is about 9178.2351244670. The cubic root of 84240000 is about 438.3686144438.

Adding to 84240000 its reverse (4248), we get a palindrome (84244248).

The spelling of 84240000 in words is "eighty-four million, two hundred forty thousand".