84016512 has 48 divisors (see below), whose sum is σ = 241769580. Its totient is φ = 28005120.

The previous prime is 84016489. The next prime is 84016523. The reversal of 84016512 is 21561048.

84016512 is a `hidden beast` number, since 8 + 4 + 0 + 1 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×84016512² = 14117548577292288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 35314 + ... + 37617.

Almost surely, 2^84016512 is an apocalyptic number.

It is an amenable number.

84016512 is an abundant number, since it is smaller than the sum of its proper divisors (157753068).

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

84016512 is a wasteful number, since it uses less digits than its factorization.

84016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72951 (or 72936 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 84016512 is about 9166.0521490989. The cubic root of 84016512 is about 437.9806083865.

The spelling of 84016512 in words is "eighty-four million, sixteen thousand, five hundred twelve".