11895264 has 72 divisors (see below), whose sum is σ = 34240752. Its totient is φ = 3916800.

The previous prime is 11895263. The next prime is 11895271. The reversal of 11895264 is 46259811.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11895263) 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, 29464 + ... + 29864.

It is an arithmetic number, because the mean of its divisors is an integer number (475566).

Almost surely, 2^11895264 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 11895264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17120376).

11895264 is an abundant number, since it is smaller than the sum of its proper divisors (22345488).

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

11895264 is a wasteful number, since it uses less digits than its factorization.

11895264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11895264 is about 3448.9511449135. The cubic root of 11895264 is about 228.2748301760.

The spelling of 11895264 in words is "eleven million, eight hundred ninety-five thousand, two hundred sixty-four".