80668224 has 392 divisors, whose sum is σ = 310936640. Its totient is φ = 20155392.

The previous prime is 80668223. The next prime is 80668271. The reversal of 80668224 is 42286608.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 80668224 = 36³ + 432³ = 324³ + 360³.

It is not an unprimeable number, because it can be changed into a prime (80668223) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4245687 + ... + 4245705.

Almost surely, 2^80668224 is an apocalyptic number.

80668224 is a gapful number since it is divisible by the number (84) 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 80668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155468320).

80668224 is an abundant number, since it is smaller than the sum of its proper divisors (230268416).

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

80668224 is a wasteful number, since it uses less digits than its factorization.

80668224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 80668224 is about 8981.5490868781. The cubic root of 80668224 is about 432.0833172634.

It can be divided in two parts, 8066 and 8224, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 80668224 in words is "eighty million, six hundred sixty-eight thousand, two hundred twenty-four".