84915864 has 216 divisors, whose sum is σ = 276674580. Its totient is φ = 24377760.

The previous prime is 84915847. The next prime is 84915869. The reversal of 84915864 is 46851948.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84915869) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4469247 + ... + 4469265.

Almost surely, 2^84915864 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 84915864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138337290).

84915864 is an abundant number, since it is smaller than the sum of its proper divisors (191758716).

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

84915864 is a wasteful number, since it uses less digits than its factorization.

84915864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 35 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 84915864 is about 9214.9804123503. The cubic root of 84915864 is about 439.5378480842.

The spelling of 84915864 in words is "eighty-four million, nine hundred fifteen thousand, eight hundred sixty-four".