11736864 has 72 divisors (see below), whose sum is σ = 33847632. Its totient is φ = 3857280.

The previous prime is 11736863. The next prime is 11736871. The reversal of 11736864 is 46863711.

It is a tau number, because it is divible by the number of its divisors (72).

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 (11736863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23659 + ... + 24149.

It is an arithmetic number, because the mean of its divisors is an integer number (470106).

Almost surely, 2^11736864 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 11736864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16923816).

11736864 is an abundant number, since it is smaller than the sum of its proper divisors (22110768).

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

11736864 is a wasteful number, since it uses less digits than its factorization.

11736864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 579 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 11736864 is about 3425.9106818480. The cubic root of 11736864 is about 227.2570461132.

The spelling of 11736864 in words is "eleven million, seven hundred thirty-six thousand, eight hundred sixty-four".