11979400 has 48 divisors (see below), whose sum is σ = 28206900. Its totient is φ = 4730880.

The previous prime is 11979391. The next prime is 11979433. The reversal of 11979400 is 497911.

It can be written as a sum of positive squares in 6 ways, for example, as 1726596 + 10252804 = 1314^2 + 3202^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17464 + ... + 18136.

Almost surely, 2^11979400 is an apocalyptic number.

11979400 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 11979400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103450).

11979400 is an abundant number, since it is smaller than the sum of its proper divisors (16227500).

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

11979400 is a wasteful number, since it uses less digits than its factorization.

11979400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 11979400 is about 3461.1269840906. The cubic root of 11979400 is about 228.8117672889.

The spelling of 11979400 in words is "eleven million, nine hundred seventy-nine thousand, four hundred".