84705840 has 120 divisors (see below), whose sum is σ = 288651168. Its totient is φ = 22256640.

The previous prime is 84705833. The next prime is 84705851. The reversal of 84705840 is 4850748.

84705840 is a `hidden beast` number, since 8 + 4 + 70 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 84705795 and 84705804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50292 + ... + 51948.

Almost surely, 2^84705840 is an apocalyptic number.

84705840 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 84705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144325584).

84705840 is an abundant number, since it is smaller than the sum of its proper divisors (203945328).

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

84705840 is a wasteful number, since it uses less digits than its factorization.

84705840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84705840 is about 9203.5775652732. The cubic root of 84705840 is about 439.1751765161.

The spelling of 84705840 in words is "eighty-four million, seven hundred five thousand, eight hundred forty".