9012084624 has 135 divisors (see below), whose sum is σ = 26279731153. Its totient is φ = 2993775552.

The previous prime is 9012084619. The next prime is 9012084643. The reversal of 9012084624 is 4264802109.

The square root of 9012084624 is 94932.

It is a perfect power (a square), and thus also a powerful number.

9012084624 is a `hidden beast` number, since 9 + 0 + 1 + 20 + 8 + 4 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8526675600 + 485409024 = 92340^2 + 22032^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30757822 + ... + 30758114.

Almost surely, 2^9012084624 is an apocalyptic number.

9012084624 is the 94932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9012084624

9012084624 is an abundant number, since it is smaller than the sum of its proper divisors (17267646529).

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

9012084624 is an frugal number, since it uses more digits than its factorization.

9012084624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 9012084624 is about 2081.0144078103.

Multiplying 9012084624 by its sum of digits (36), we get a square (324435046464 = 569592²).

9012084624 divided by its sum of digits (36) gives a square (250335684 = 15822²).

The spelling of 9012084624 in words is "nine billion, twelve million, eighty-four thousand, six hundred twenty-four".