11978240 has 40 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 4790272.

The previous prime is 11978237. The next prime is 11978287. The reversal of 11978240 is 4287911.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 11978197 and 11978206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^11978240 is an apocalyptic number.

11978240 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 11978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).

11978240 is an abundant number, since it is smaller than the sum of its proper divisors (16747600).

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

11978240 is an frugal number, since it uses more digits than its factorization.

11978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 11978240 is about 3460.9594045582. The cubic root of 11978240 is about 228.8043815484.

The spelling of 11978240 in words is "eleven million, nine hundred seventy-eight thousand, two hundred forty".