11742800 has 60 divisors (see below), whose sum is σ = 29152896. Its totient is φ = 4540800.

The previous prime is 11742793. The next prime is 11742877. The reversal of 11742800 is 824711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11927 + ... + 12873.

Almost surely, 2^11742800 is an apocalyptic number.

11742800 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 11742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14576448).

11742800 is an abundant number, since it is smaller than the sum of its proper divisors (17410096).

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

11742800 is a wasteful number, since it uses less digits than its factorization.

11742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 11742800 is about 3426.7769113264. The cubic root of 11742800 is about 227.2953519295.

The spelling of 11742800 in words is "eleven million, seven hundred forty-two thousand, eight hundred".