11980824 has 64 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 3843840.

The previous prime is 11980819. The next prime is 11980841. The reversal of 11980824 is 42808911.

11980824 = 322² + 323² + ... + 410².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134572 + ... + 134660.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 2^11980824 is an apocalyptic number.

It is an amenable number.

11980824 is an abundant number, since it is smaller than the sum of its proper divisors (19123176).

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

11980824 is a wasteful number, since it uses less digits than its factorization.

11980824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 11980824 is about 3461.3326913199. The cubic root of 11980824 is about 228.8208332701.

The spelling of 11980824 in words is "eleven million, nine hundred eighty thousand, eight hundred twenty-four".