84706560 has 360 divisors, whose sum is σ = 326467680. Its totient is φ = 20901888.

The previous prime is 84706547. The next prime is 84706591. The reversal of 84706560 is 6560748.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969899 + ... + 1969941.

Almost surely, 2^84706560 is an apocalyptic number.

84706560 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 84706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163233840).

84706560 is an abundant number, since it is smaller than the sum of its proper divisors (241761120).

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

84706560 is a wasteful number, since it uses less digits than its factorization.

84706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 84706560 is about 9203.6166804143. The cubic root of 84706560 is about 439.1764208429.

The spelling of 84706560 in words is "eighty-four million, seven hundred six thousand, five hundred sixty".