11451664 has 40 divisors (see below), whose sum is σ = 25801920. Its totient is φ = 4821888.

The previous prime is 11451653. The next prime is 11451667. The reversal of 11451664 is 46615411.

11451664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11451664² = 262281216737792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11451667) 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, 5742 + ... + 7474.

It is an arithmetic number, because the mean of its divisors is an integer number (645048).

Almost surely, 2^11451664 is an apocalyptic number.

11451664 is a gapful number since it is divisible by the number (14) 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 11451664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900960).

11451664 is an abundant number, since it is smaller than the sum of its proper divisors (14350256).

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

11451664 is a wasteful number, since it uses less digits than its factorization.

11451664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1801 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 11451664 is about 3384.0307327210. The cubic root of 11451664 is about 225.4011871173.

It can be divided in two parts, 1145 and 1664, that added together give a square (2809 = 53²).

The spelling of 11451664 in words is "eleven million, four hundred fifty-one thousand, six hundred sixty-four".