11827464 has 64 divisors (see below), whose sum is σ = 32762880. Its totient is φ = 3528000.

The previous prime is 11827433. The next prime is 11827489. The reversal of 11827464 is 46472811.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 18429 + ... + 19059.

It is an arithmetic number, because the mean of its divisors is an integer number (511920).

Almost surely, 2^11827464 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 11827464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381440).

11827464 is an abundant number, since it is smaller than the sum of its proper divisors (20935416).

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

11827464 is a wasteful number, since it uses less digits than its factorization.

11827464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 718 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 11827464 is about 3439.1080238922. The cubic root of 11827464 is about 227.8403006015.

It can be divided in two parts, 1182 and 7464, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 11827464 in words is "eleven million, eight hundred twenty-seven thousand, four hundred sixty-four".