11873280 has 88 divisors (see below), whose sum is σ = 38025072. Its totient is φ = 3162112.

The previous prime is 11873269. The next prime is 11873287. The reversal of 11873280 is 8237811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11873287) 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, 14974 + ... + 15746.

Almost surely, 2^11873280 is an apocalyptic number.

11873280 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 11873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19012536).

11873280 is an abundant number, since it is smaller than the sum of its proper divisors (26151792).

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

11873280 is an equidigital number, since it uses as much as digits as its factorization.

11873280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 11873280 is about 3445.7626151550. The cubic root of 11873280 is about 228.1341162304.

The spelling of 11873280 in words is "eleven million, eight hundred seventy-three thousand, two hundred eighty".