84120064 has 80 divisors (see below), whose sum is σ = 196416000. Its totient is φ = 35976192.

The previous prime is 84120059. The next prime is 84120067. The reversal of 84120064 is 46002148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84120067) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 175377 + ... + 175855.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 2^84120064 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 84120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

84120064 is an abundant number, since it is smaller than the sum of its proper divisors (112295936).

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

84120064 is an frugal number, since it uses more digits than its factorization.

84120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 84120064 is about 9171.6990792328. The cubic root of 84120064 is about 438.1604744092.

The spelling of 84120064 in words is "eighty-four million, one hundred twenty thousand, sixty-four".