84812288 has 90 divisors (see below), whose sum is σ = 191435013. Its totient is φ = 37509120.

The previous prime is 84812281. The next prime is 84812291. The reversal of 84812288 is 88221848.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 68425984 + 16386304 = 8272^2 + 4048^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6512.

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

It is not an unprimeable number, because it can be changed into a prime (84812281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2292206 + ... + 2292242.

Almost surely, 2^84812288 is an apocalyptic number.

84812288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84812288

84812288 is an abundant number, since it is smaller than the sum of its proper divisors (106622725).

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

84812288 is an equidigital number, since it uses as much as digits as its factorization.

84812288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 50 counting only the distinct ones).

The product of its digits is 65536, while the sum is 41.

The square root of 84812288 is about 9209.3587181736. The cubic root of 84812288 is about 439.3590668276.

The spelling of 84812288 in words is "eighty-four million, eight hundred twelve thousand, two hundred eighty-eight".