84640512 has 144 divisors (see below), whose sum is σ = 252540288. Its totient is φ = 24944640.

The previous prime is 84640511. The next prime is 84640519. The reversal of 84640512 is 21504648.

It is a self number, because there is not a number n which added to its sum of digits gives 84640512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84640511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363148 + ... + 363380.

It is an arithmetic number, because the mean of its divisors is an integer number (1753752).

Almost surely, 2^84640512 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 84640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126270144).

84640512 is an abundant number, since it is smaller than the sum of its proper divisors (167899776).

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

84640512 is a wasteful number, since it uses less digits than its factorization.

84640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 84640512 is about 9200.0278260449. The cubic root of 84640512 is about 439.0622452441.

The spelling of 84640512 in words is "eighty-four million, six hundred forty thousand, five hundred twelve".