11710400 has 84 divisors (see below), whose sum is σ = 31086552. Its totient is φ = 4316160.

The previous prime is 11710397. The next prime is 11710411. The reversal of 11710400 is 401711.

It is a happy number.

11710400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20519 + ... + 21081.

It is an arithmetic number, because the mean of its divisors is an integer number (370078).

Almost surely, 2^11710400 is an apocalyptic number.

11710400 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 11710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543276).

11710400 is an abundant number, since it is smaller than the sum of its proper divisors (19376152).

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

11710400 is a wasteful number, since it uses less digits than its factorization.

11710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 11710400 is about 3422.0461715179. The cubic root of 11710400 is about 227.0861129942.

The spelling of 11710400 in words is "eleven million, seven hundred ten thousand, four hundred".