9180864 has 280 divisors, whose sum is σ = 35405568. Its totient is φ = 2280960.

The previous prime is 9180859. The next prime is 9180881. The reversal of 9180864 is 4680819.

It is a happy number.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399157 + ... + 399179.

Almost surely, 2^9180864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702784).

9180864 is an abundant number, since it is smaller than the sum of its proper divisors (26224704).

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

9180864 is a wasteful number, since it uses less digits than its factorization.

9180864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9180864 is about 3029.9940594001. The cubic root of 9180864 is about 209.3925301725.

Adding to 9180864 its sum of digits (36), we get a square (9180900 = 3030²).

The spelling of 9180864 in words is "nine million, one hundred eighty thousand, eight hundred sixty-four".