113784000 has 224 divisors, whose sum is σ = 410821632. Its totient is φ = 27520000.

The previous prime is 113783993. The next prime is 113784001. The reversal of 113784000 is 487311.

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

It is not an unprimeable number, because it can be changed into a prime (113784001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263785 + ... + 264215.

Almost surely, 2^113784000 is an apocalyptic number.

113784000 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 113784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816).

113784000 is an abundant number, since it is smaller than the sum of its proper divisors (297037632).

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

113784000 is a wasteful number, since it uses less digits than its factorization.

113784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 452 counting only the distinct ones).

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

The square root of 113784000 is about 10666.9583293458. The cubic root of 113784000 is about 484.5743244860.

The spelling of 113784000 in words is "one hundred thirteen million, seven hundred eighty-four thousand".