84813696 has 256 divisors, whose sum is σ = 287884800. Its totient is φ = 24330240.

The previous prime is 84813683. The next prime is 84813761. The reversal of 84813696 is 69631848.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874320 + ... + 874416.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^84813696 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 84813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

84813696 is an abundant number, since it is smaller than the sum of its proper divisors (203071104).

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

84813696 is a wasteful number, since it uses less digits than its factorization.

84813696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 84813696 is about 9209.4351618327. The cubic root of 84813696 is about 439.3614981346.

The spelling of 84813696 in words is "eighty-four million, eight hundred thirteen thousand, six hundred ninety-six".