11993240 has 96 divisors (see below), whose sum is σ = 32626800. Its totient is φ = 3951360.

The previous prime is 11993207. The next prime is 11993263. The reversal of 11993240 is 4239911.

11993240 = 347² + 348² + ... + 426².

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56735 + ... + 56945.

Almost surely, 2^11993240 is an apocalyptic number.

11993240 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 11993240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16313400).

11993240 is an abundant number, since it is smaller than the sum of its proper divisors (20633560).

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

11993240 is a wasteful number, since it uses less digits than its factorization.

11993240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 11993240 is about 3463.1257557299. The cubic root of 11993240 is about 228.8998500562.

The spelling of 11993240 in words is "eleven million, nine hundred ninety-three thousand, two hundred forty".