84008512 has 112 divisors (see below), whose sum is σ = 205996032. Its totient is φ = 33200640.

The previous prime is 84008501. The next prime is 84008527. The reversal of 84008512 is 21580048.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319293 + ... + 319555.

Almost surely, 2^84008512 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 84008512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102998016).

84008512 is an abundant number, since it is smaller than the sum of its proper divisors (121987520).

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

84008512 is a wasteful number, since it uses less digits than its factorization.

84008512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 84008512 is about 9165.6157458187. The cubic root of 84008512 is about 437.9667065316.

The spelling of 84008512 in words is "eighty-four million, eight thousand, five hundred twelve".