11978400 has 288 divisors, whose sum is σ = 47996928. Its totient is φ = 2534400.

The previous prime is 11978389. The next prime is 11978401. The reversal of 11978400 is 487911.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11978401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 386385 + ... + 386415.

It is an arithmetic number, because the mean of its divisors is an integer number (166656).

Almost surely, 2^11978400 is an apocalyptic number.

11978400 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 11978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

11978400 is an abundant number, since it is smaller than the sum of its proper divisors (36018528).

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

11978400 is a wasteful number, since it uses less digits than its factorization.

11978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11978400 is about 3460.9825194589. The cubic root of 11978400 is about 228.8054002996.

The spelling of 11978400 in words is "eleven million, nine hundred seventy-eight thousand, four hundred".