11906400 has 216 divisors, whose sum is σ = 43637832. Its totient is φ = 2816000.

The previous prime is 11906371. The next prime is 11906417. The reversal of 11906400 is 460911.

11906400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290380 + ... + 290420.

It is an arithmetic number, because the mean of its divisors is an integer number (202027).

Almost surely, 2^11906400 is an apocalyptic number.

11906400 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 11906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818916).

11906400 is an abundant number, since it is smaller than the sum of its proper divisors (31731432).

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

11906400 is a wasteful number, since it uses less digits than its factorization.

11906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11906400 is about 3450.5651710988. The cubic root of 11906400 is about 228.3460427093.

The spelling of 11906400 in words is "eleven million, nine hundred six thousand, four hundred".