9006480 has 120 divisors (see below), whose sum is σ = 34587072. Its totient is φ = 2057472.

The previous prime is 9006457. The next prime is 9006493. The reversal of 9006480 is 846009.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×9006480² = 162233363980800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4147 + ... + 5933.

Almost surely, 2^9006480 is an apocalyptic number.

9006480 is a gapful number since it is divisible by the number (90) 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 9006480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293536).

9006480 is an abundant number, since it is smaller than the sum of its proper divisors (25580592).

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

9006480 is a wasteful number, since it uses less digits than its factorization.

9006480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9006480 is about 3001.0798056700. The cubic root of 9006480 is about 208.0582923405.

It can be divided in two parts, 900 and 6480, that multiplied together give a cube (5832000 = 180³).

The spelling of 9006480 in words is "nine million, six thousand, four hundred eighty".