9006144 has 56 divisors (see below), whose sum is σ = 27236928. Its totient is φ = 2572800.

The previous prime is 9006139. The next prime is 9006157. The reversal of 9006144 is 4416009.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×9006144² = 162221259497472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2007 + ... + 4694.

Almost surely, 2^9006144 is an apocalyptic number.

It is an amenable number.

9006144 is an abundant number, since it is smaller than the sum of its proper divisors (18230784).

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

9006144 is a wasteful number, since it uses less digits than its factorization.

9006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 9006144 is about 3001.0238252970. The cubic root of 9006144 is about 208.0557050013.

The spelling of 9006144 in words is "nine million, six thousand, one hundred forty-four".