84324240 has 600 divisors, whose sum is σ = 395385408. Its totient is φ = 16174080.

The previous prime is 84324217. The next prime is 84324241. The reversal of 84324240 is 4242348.

It is a happy number.

It is a super-2 number, since 2×84324240² = 14221154903155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (84324241) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6486474 + ... + 6486486.

Almost surely, 2^84324240 is an apocalyptic number.

84324240 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 84324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197692704).

84324240 is an abundant number, since it is smaller than the sum of its proper divisors (311061168).

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

84324240 is a wasteful number, since it uses less digits than its factorization.

84324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 84324240 is about 9182.8230953231. The cubic root of 84324240 is about 438.5146886347.

Adding to 84324240 its reverse (4242348), we get a palindrome (88566588).

The spelling of 84324240 in words is "eighty-four million, three hundred twenty-four thousand, two hundred forty".