11542664 has 64 divisors (see below), whose sum is σ = 26188800. Its totient is φ = 4665600.

The previous prime is 11542651. The next prime is 11542669. The reversal of 11542664 is 46624511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11542669) 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, 105842 + ... + 105950.

It is an arithmetic number, because the mean of its divisors is an integer number (409200).

Almost surely, 2^11542664 is an apocalyptic number.

11542664 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 11542664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094400).

11542664 is an abundant number, since it is smaller than the sum of its proper divisors (14646136).

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

11542664 is a wasteful number, since it uses less digits than its factorization.

11542664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 11542664 is about 3397.4496317091. The cubic root of 11542664 is about 225.9966585247.

The spelling of 11542664 in words is "eleven million, five hundred forty-two thousand, six hundred sixty-four".