8083054224 has 240 divisors, whose sum is σ = 26703540864. Its totient is φ = 2234419200.

The previous prime is 8083054211. The next prime is 8083054247. The reversal of 8083054224 is 4224503808.

8083054224 is a `hidden beast` number, since 80 + 8 + 30 + 542 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5413222 + ... + 5414714.

Almost surely, 2^8083054224 is an apocalyptic number.

8083054224 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 8083054224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351770432).

8083054224 is an abundant number, since it is smaller than the sum of its proper divisors (18620486640).

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

8083054224 is a wasteful number, since it uses less digits than its factorization.

8083054224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8083054224 is about 89905.8075098600. The cubic root of 8083054224 is about 2006.8973711246.

The spelling of 8083054224 in words is "eight billion, eighty-three million, fifty-four thousand, two hundred twenty-four".