11374800 has 60 divisors (see below), whose sum is σ = 36441120. Its totient is φ = 3032960.

The previous prime is 11374789. The next prime is 11374801. The reversal of 11374800 is 847311.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11374801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3540 + ... + 5939.

It is an arithmetic number, because the mean of its divisors is an integer number (607352).

Almost surely, 2^11374800 is an apocalyptic number.

11374800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11374800 is an abundant number, since it is smaller than the sum of its proper divisors (25066320).

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

11374800 is a wasteful number, since it uses less digits than its factorization.

11374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11374800 is about 3372.6547407050. The cubic root of 11374800 is about 224.8957541780.

The spelling of 11374800 in words is "eleven million, three hundred seventy-four thousand, eight hundred".