84393540 has 144 divisors (see below), whose sum is σ = 319213440. Its totient is φ = 17533440.

The previous prime is 84393521. The next prime is 84393553. The reversal of 84393540 is 4539348.

84393540 is a `hidden beast` number, since 84 + 39 + 3 + 540 = 666.

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 = 84393495 and 84393504.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10816 + ... + 16904.

It is an arithmetic number, because the mean of its divisors is an integer number (2216760).

Almost surely, 2^84393540 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 84393540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159606720).

84393540 is an abundant number, since it is smaller than the sum of its proper divisors (234819900).

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

84393540 is a wasteful number, since it uses less digits than its factorization.

84393540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 84393540 is about 9186.5956697789. The cubic root of 84393540 is about 438.6347835874.

The spelling of 84393540 in words is "eighty-four million, three hundred ninety-three thousand, five hundred forty".