11361264 has 80 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 3520000.

The previous prime is 11361247. The next prime is 11361269. The reversal of 11361264 is 46216311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11361269) 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, 45139 + ... + 45389.

Almost surely, 2^11361264 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 11361264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

11361264 is an abundant number, since it is smaller than the sum of its proper divisors (20136720).

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

11361264 is a wasteful number, since it uses less digits than its factorization.

11361264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 11361264 is about 3370.6474155568. The cubic root of 11361264 is about 224.8065101984.

Adding to 11361264 its reverse (46216311), we get a palindrome (57577575).

The spelling of 11361264 in words is "eleven million, three hundred sixty-one thousand, two hundred sixty-four".