11930400 has 108 divisors (see below), whose sum is σ = 42094962. Its totient is φ = 3179520.

The previous prime is 11930363. The next prime is 11930407. The reversal of 11930400 is 403911.

It can be written as a sum of positive squares in 3 ways, for example, as 7817616 + 4112784 = 2796^2 + 2028^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11930407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6372 + ... + 8028.

Almost surely, 2^11930400 is an apocalyptic number.

11930400 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 11930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047481).

11930400 is an abundant number, since it is smaller than the sum of its proper divisors (30164562).

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

11930400 is a wasteful number, since it uses less digits than its factorization.

11930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11930400 is about 3454.0411115098. The cubic root of 11930400 is about 228.4993671646.

The spelling of 11930400 in words is "eleven million, nine hundred thirty thousand, four hundred".