11506800 has 120 divisors (see below), whose sum is σ = 37886464. Its totient is φ = 2983680.

The previous prime is 11506787. The next prime is 11506811. The reversal of 11506800 is 860511.

11506800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51489 + ... + 51711.

Almost surely, 2^11506800 is an apocalyptic number.

11506800 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 11506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943232).

11506800 is an abundant number, since it is smaller than the sum of its proper divisors (26379664).

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

11506800 is a wasteful number, since it uses less digits than its factorization.

11506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11506800 is about 3392.1674486971. The cubic root of 11506800 is about 225.7623523273.

The spelling of 11506800 in words is "eleven million, five hundred six thousand, eight hundred".