11494800 has 180 divisors, whose sum is σ = 41576704. Its totient is φ = 2937600.

The previous prime is 11494789. The next prime is 11494811. The reversal of 11494800 is 849411.

11494800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11494789) and next prime (11494811).

It is a tau number, because it is divible by the number of its divisors (180).

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, 111549 + ... + 111651.

Almost surely, 2^11494800 is an apocalyptic number.

11494800 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 11494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20788352).

11494800 is an abundant number, since it is smaller than the sum of its proper divisors (30081904).

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

11494800 is a wasteful number, since it uses less digits than its factorization.

11494800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11494800 is about 3390.3982067008. The cubic root of 11494800 is about 225.6838454001.

The spelling of 11494800 in words is "eleven million, four hundred ninety-four thousand, eight hundred".