11818320 has 80 divisors (see below), whose sum is σ = 38247552. Its totient is φ = 3013120.

The previous prime is 11818309. The next prime is 11818327. The reversal of 11818320 is 2381811.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11818327) 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, 4450 + ... + 6590.

Almost surely, 2^11818320 is an apocalyptic number.

11818320 is a gapful number since it is divisible by the number (10) 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 11818320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776).

11818320 is an abundant number, since it is smaller than the sum of its proper divisors (26429232).

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

11818320 is a wasteful number, since it uses less digits than its factorization.

11818320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11818320 is about 3437.7783523665. The cubic root of 11818320 is about 227.7815698137.

The spelling of 11818320 in words is "eleven million, eight hundred eighteen thousand, three hundred twenty".