84813768 has 192 divisors, whose sum is σ = 265574400. Its totient is φ = 24261120.

The previous prime is 84813763. The next prime is 84813791. The reversal of 84813768 is 86731848.

It is not an unprimeable number, because it can be changed into a prime (84813761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073553 + ... + 1073631.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 2^84813768 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 84813768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132787200).

84813768 is an abundant number, since it is smaller than the sum of its proper divisors (180760632).

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

84813768 is a wasteful number, since it uses less digits than its factorization.

84813768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 84813768 is about 9209.4390708664. The cubic root of 84813768 is about 439.3616224621.

The spelling of 84813768 in words is "eighty-four million, eight hundred thirteen thousand, seven hundred sixty-eight".