11395104 has 96 divisors (see below), whose sum is σ = 35352576. Its totient is φ = 3144960.

The previous prime is 11395037. The next prime is 11395127. The reversal of 11395104 is 40159311.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20559 + ... + 21105.

It is an arithmetic number, because the mean of its divisors is an integer number (368256).

Almost surely, 2^11395104 is an apocalyptic number.

11395104 is a gapful number since it is divisible by the number (14) 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 11395104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17676288).

11395104 is an abundant number, since it is smaller than the sum of its proper divisors (23957472).

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

11395104 is a wasteful number, since it uses less digits than its factorization.

11395104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 11395104 is about 3375.6634903379. The cubic root of 11395104 is about 225.0294874934.

The spelling of 11395104 in words is "eleven million, three hundred ninety-five thousand, one hundred four".