84916512 has 90 divisors (see below), whose sum is σ = 251124489. Its totient is φ = 28149120.

The previous prime is 84916501. The next prime is 84916523. The reversal of 84916512 is 21561948.

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 an interprime number because it is at equal distance from previous prime (84916501) and next prime (84916523).

It can be written as a sum of positive squares in 2 ways, for example, as 51322896 + 33593616 = 7164^2 + 5796^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6516.

It is a super-2 number, since 2×84916512² = 14421628020492288, which contains 22 as substring.

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

Its product of digits (17280) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 469062 + ... + 469242.

Almost surely, 2^84916512 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 84916512

84916512 is an abundant number, since it is smaller than the sum of its proper divisors (166207977).

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

84916512 is an equidigital number, since it uses as much as digits as its factorization.

84916512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 186 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 84916512 is about 9215.0155724231. The cubic root of 84916512 is about 439.5389661313.

The spelling of 84916512 in words is "eighty-four million, nine hundred sixteen thousand, five hundred twelve".