84196512 has 144 divisors (see below), whose sum is σ = 262702440. Its totient is φ = 25460736.

The previous prime is 84196499. The next prime is 84196513. The reversal of 84196512 is 21569148.

It can be written as a sum of positive squares in 4 ways, for example, as 81649296 + 2547216 = 9036^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×84196512² = 14178105265932288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (84196513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141688 + ... + 142280.

Almost surely, 2^84196512 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 84196512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131351220).

84196512 is an abundant number, since it is smaller than the sum of its proper divisors (178505928).

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

84196512 is a wasteful number, since it uses less digits than its factorization.

84196512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 644 counting only the distinct ones).

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

The square root of 84196512 is about 9175.8657357222. The cubic root of 84196512 is about 438.2931670881.

The spelling of 84196512 in words is "eighty-four million, one hundred ninety-six thousand, five hundred twelve".