11264000 has 112 divisors (see below), whose sum is σ = 30668976. Its totient is φ = 4096000.

The previous prime is 11263999. The next prime is 11264009. The reversal of 11264000 is 46211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264009) 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, 1023995 + ... + 1024005.

Almost surely, 2^11264000 is an apocalyptic number.

11264000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11264000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334488).

11264000 is an abundant number, since it is smaller than the sum of its proper divisors (19404976).

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

11264000 is an frugal number, since it uses more digits than its factorization.

11264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11264000 is about 3356.1883141445. The cubic root of 11264000 is about 224.1631464524.

The spelling of 11264000 in words is "eleven million, two hundred sixty-four thousand".