11371416 has 64 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 3214848.

The previous prime is 11371403. The next prime is 11371421. The reversal of 11371416 is 61417311.

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

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 18685 + ... + 19283.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 2^11371416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11371416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416000).

11371416 is an abundant number, since it is smaller than the sum of its proper divisors (21460584).

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

11371416 is a wasteful number, since it uses less digits than its factorization.

11371416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 724 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 11371416 is about 3372.1530214390. The cubic root of 11371416 is about 224.8734498235.

Adding to 11371416 its reverse (61417311), we get a palindrome (72788727).

The spelling of 11371416 in words is "eleven million, three hundred seventy-one thousand, four hundred sixteen".