11401600 has 96 divisors (see below), whose sum is σ = 32252400. Its totient is φ = 3901440.

The previous prime is 11401561. The next prime is 11401601. The reversal of 11401600 is 610411.

11401600 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 not an unprimeable number, because it can be changed into a prime (11401601) 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, 22146 + ... + 22654.

Almost surely, 2^11401600 is an apocalyptic number.

11401600 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 11401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126200).

11401600 is an abundant number, since it is smaller than the sum of its proper divisors (20850800).

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

11401600 is an equidigital number, since it uses as much as digits as its factorization.

11401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11401600 is about 3376.6255344648. The cubic root of 11401600 is about 225.0722401780.

The spelling of 11401600 in words is "eleven million, four hundred one thousand, six hundred".