11893280 has 144 divisors (see below), whose sum is σ = 34387416. Its totient is φ = 3870720.

The previous prime is 11893247. The next prime is 11893289. The reversal of 11893280 is 8239811.

11893280 = T₄₄₉ + T₄₅₀ + ... + T₅₄₄.

It can be written as a sum of positive squares in 4 ways, for example, as 8976016 + 2917264 = 2996^2 + 1708^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11893289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290060 + ... + 290100.

Almost surely, 2^11893280 is an apocalyptic number.

11893280 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 11893280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193708).

11893280 is an abundant number, since it is smaller than the sum of its proper divisors (22494136).

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

11893280 is a wasteful number, since it uses less digits than its factorization.

11893280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 11893280 is about 3448.6635092453. The cubic root of 11893280 is about 228.2621382216.

The spelling of 11893280 in words is "eleven million, eight hundred ninety-three thousand, two hundred eighty".