11964672 has 90 divisors (see below), whose sum is σ = 35738318. Its totient is φ = 3981312.

The previous prime is 11964647. The next prime is 11964679. The reversal of 11964672 is 27646911.

11964672 is a `hidden beast` number, since 1 + 1 + 9 + 646 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 20736 = 3456^2 + 144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11964679) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20448 + ... + 21024.

Almost surely, 2^11964672 is an apocalyptic number.

11964672 is a gapful number since it is divisible by the number (12) 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 11964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17869159).

11964672 is an abundant number, since it is smaller than the sum of its proper divisors (23773646).

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

11964672 is an frugal number, since it uses more digits than its factorization.

11964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 582 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 11964672 is about 3458.9986990457. The cubic root of 11964672 is about 228.7179584253.

The spelling of 11964672 in words is "eleven million, nine hundred sixty-four thousand, six hundred seventy-two".