11801264 has 40 divisors (see below), whose sum is σ = 24797520. Its totient is φ = 5419008.

The previous prime is 11801263. The next prime is 11801269. The reversal of 11801264 is 46210811.

It is not an unprimeable number, because it can be changed into a prime (11801263) 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, 11192 + ... + 12200.

It is an arithmetic number, because the mean of its divisors is an integer number (619938).

Almost surely, 2^11801264 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 11801264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398760).

11801264 is an abundant number, since it is smaller than the sum of its proper divisors (12996256).

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

11801264 is a wasteful number, since it uses less digits than its factorization.

11801264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11801264 is about 3435.2967848499. The cubic root of 11801264 is about 227.6719402189.

The spelling of 11801264 in words is "eleven million, eight hundred one thousand, two hundred sixty-four".