11493312 has 56 divisors (see below), whose sum is σ = 31406592. Its totient is φ = 3705600.

The previous prime is 11493311. The next prime is 11493323. The reversal of 11493312 is 21339411.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11493311) 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, 4987 + ... + 6917.

It is an arithmetic number, because the mean of its divisors is an integer number (560832).

Almost surely, 2^11493312 is an apocalyptic number.

11493312 is a gapful number since it is divisible by the number (12) 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 11493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703296).

11493312 is an abundant number, since it is smaller than the sum of its proper divisors (19913280).

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

11493312 is a wasteful number, since it uses less digits than its factorization.

11493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1967 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 11493312 is about 3390.1787563490. The cubic root of 11493312 is about 225.6741067341.

The spelling of 11493312 in words is "eleven million, four hundred ninety-three thousand, three hundred twelve".