11664480 has 96 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 2944512.

The previous prime is 11664479. The next prime is 11664487. The reversal of 11664480 is 8446611.

11664480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11664487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8481 + ... + 9759.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 2^11664480 is an apocalyptic number.

11664480 is a gapful number since it is divisible by the number (10) 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 11664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

11664480 is an abundant number, since it is smaller than the sum of its proper divisors (27042720).

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

11664480 is a wasteful number, since it uses less digits than its factorization.

11664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 11664480 is about 3415.3301450958. The cubic root of 11664480 is about 226.7888998546.

The spelling of 11664480 in words is "eleven million, six hundred sixty-four thousand, four hundred eighty".