11474592 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3514368.

The previous prime is 11474587. The next prime is 11474597. The reversal of 11474592 is 29547411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11474587) and next prime (11474597).

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

It is not an unprimeable number, because it can be changed into a prime (11474597) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 128884 + ... + 128972.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^11474592 is an apocalyptic number.

11474592 is a gapful number since it is divisible by the number (12) 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 11474592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

11474592 is an abundant number, since it is smaller than the sum of its proper divisors (21184608).

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

11474592 is a wasteful number, since it uses less digits than its factorization.

11474592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 11474592 is about 3387.4167148433. The cubic root of 11474592 is about 225.5515161642.

The spelling of 11474592 in words is "eleven million, four hundred seventy-four thousand, five hundred ninety-two".