11835264 has 192 divisors, whose sum is σ = 39767760. Its totient is φ = 3096576.

The previous prime is 11835259. The next prime is 11835283. The reversal of 11835264 is 46253811.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319854 + ... + 319890.

Almost surely, 2^11835264 is an apocalyptic number.

11835264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883880).

11835264 is an abundant number, since it is smaller than the sum of its proper divisors (27932496).

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

11835264 is a wasteful number, since it uses less digits than its factorization.

11835264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 11835264 is about 3440.2418519633. The cubic root of 11835264 is about 227.8903751236.

The spelling of 11835264 in words is "eleven million, eight hundred thirty-five thousand, two hundred sixty-four".