11411616 has 48 divisors (see below), whose sum is σ = 30996000. Its totient is φ = 3671808.

The previous prime is 11411597. The next prime is 11411633. The reversal of 11411616 is 61611411.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 11411592 and 11411601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735 + ... + 4833.

It is an arithmetic number, because the mean of its divisors is an integer number (645750).

Almost surely, 2^11411616 is an apocalyptic number.

11411616 is a gapful number since it is divisible by the number (16) 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 11411616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498000).

11411616 is an abundant number, since it is smaller than the sum of its proper divisors (19584384).

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

11411616 is a wasteful number, since it uses less digits than its factorization.

11411616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4133 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 11411616 is about 3378.1083463974. The cubic root of 11411616 is about 225.1381275318.

The spelling of 11411616 in words is "eleven million, four hundred eleven thousand, six hundred sixteen".