11945664 has 112 divisors (see below), whose sum is σ = 36413440. Its totient is φ = 3836160.

The previous prime is 11945657. The next prime is 11945683. The reversal of 11945664 is 46654911.

11945664 is a `hidden beast` number, since 1 + 1 + 94 + 566 + 4 = 666.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53457 + ... + 53679.

It is an arithmetic number, because the mean of its divisors is an integer number (325120).

Almost surely, 2^11945664 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 11945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206720).

11945664 is an abundant number, since it is smaller than the sum of its proper divisors (24467776).

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

11945664 is a wasteful number, since it uses less digits than its factorization.

11945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 11945664 is about 3456.2499909584. The cubic root of 11945664 is about 228.5967745703.

The spelling of 11945664 in words is "eleven million, nine hundred forty-five thousand, six hundred sixty-four".