9006864 has 40 divisors (see below), whose sum is σ = 24022272. Its totient is φ = 2904960.

The previous prime is 9006863. The next prime is 9006883. The reversal of 9006864 is 4686009.

It is a super-2 number, since 2×9006864² = 162247198228992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9006863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539 + ... + 4514.

Almost surely, 2^9006864 is an apocalyptic number.

It is an amenable number.

9006864 is an abundant number, since it is smaller than the sum of its proper divisors (15015408).

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

9006864 is a wasteful number, since it uses less digits than its factorization.

9006864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 9006864 is about 3001.1437819605. The cubic root of 9006864 is about 208.0612492207.

It can be divided in two parts, 9006 and 864, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 9006864 in words is "nine million, six thousand, eight hundred sixty-four".