84891240 has 320 divisors, whose sum is σ = 344995200. Its totient is φ = 18289152.

The previous prime is 84891223. The next prime is 84891241. The reversal of 84891240 is 4219848.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84891195 and 84891204.

It is not an unprimeable number, because it can be changed into a prime (84891241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430822 + ... + 431018.

It is an arithmetic number, because the mean of its divisors is an integer number (1078110).

Almost surely, 2^84891240 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 84891240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172497600).

84891240 is an abundant number, since it is smaller than the sum of its proper divisors (260103960).

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

84891240 is a wasteful number, since it uses less digits than its factorization.

84891240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

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

The square root of 84891240 is about 9213.6442301621. The cubic root of 84891240 is about 439.4953580798.

The spelling of 84891240 in words is "eighty-four million, eight hundred ninety-one thousand, two hundred forty".