84095064 has 128 divisors (see below), whose sum is σ = 254208000. Its totient is φ = 25660800.

The previous prime is 84095029. The next prime is 84095069. The reversal of 84095064 is 46059048.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84095069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126894 + ... + 127554.

It is an arithmetic number, because the mean of its divisors is an integer number (1986000).

Almost surely, 2^84095064 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 84095064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127104000).

84095064 is an abundant number, since it is smaller than the sum of its proper divisors (170112936).

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

84095064 is a wasteful number, since it uses less digits than its factorization.

84095064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 84095064 is about 9170.3360898061. The cubic root of 84095064 is about 438.1170638495.

The spelling of 84095064 in words is "eighty-four million, ninety-five thousand, sixty-four".