84500064 has 192 divisors, whose sum is σ = 285223680. Its totient is φ = 24053760.

The previous prime is 84500041. The next prime is 84500083. The reversal of 84500064 is 46000548.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161307 + ... + 161829.

It is an arithmetic number, because the mean of its divisors is an integer number (1485540).

Almost surely, 2^84500064 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 84500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142611840).

84500064 is an abundant number, since it is smaller than the sum of its proper divisors (200723616).

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

84500064 is a wasteful number, since it uses less digits than its factorization.

84500064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 84500064 is about 9192.3916365655. The cubic root of 84500064 is about 438.8192585531.

The spelling of 84500064 in words is "eighty-four million, five hundred thousand, sixty-four".