11976840 has 192 divisors, whose sum is σ = 43804800. Its totient is φ = 2820096.

The previous prime is 11976829. The next prime is 11976841. The reversal of 11976840 is 4867911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11976795 and 11976804.

It is not an unprimeable number, because it can be changed into a prime (11976841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116229 + ... + 116331.

It is an arithmetic number, because the mean of its divisors is an integer number (228150).

Almost surely, 2^11976840 is an apocalyptic number.

11976840 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 11976840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902400).

11976840 is an abundant number, since it is smaller than the sum of its proper divisors (31827960).

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

11976840 is a wasteful number, since it uses less digits than its factorization.

11976840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11976840 is about 3460.7571425918. The cubic root of 11976840 is about 228.7954670887.

The spelling of 11976840 in words is "eleven million, nine hundred seventy-six thousand, eight hundred forty".