84813288 has 64 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 24079296.

The previous prime is 84813277. The next prime is 84813299. The reversal of 84813288 is 88231848.

It is an interprime number because it is at equal distance from previous prime (84813277) and next prime (84813299).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 26545 + ... + 29567.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2^84813288 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 84813288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

84813288 is an abundant number, since it is smaller than the sum of its proper divisors (159042072).

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

84813288 is a wasteful number, since it uses less digits than its factorization.

84813288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3202 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 84813288 is about 9209.4130106104. The cubic root of 84813288 is about 439.3607936109.

The spelling of 84813288 in words is "eighty-four million, eight hundred thirteen thousand, two hundred eighty-eight".