11810016 has 48 divisors (see below), whose sum is σ = 34448400. Its totient is φ = 3936384.

The previous prime is 11810003. The next prime is 11810021. The reversal of 11810016 is 61001811.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5971 + ... + 7698.

It is an arithmetic number, because the mean of its divisors is an integer number (717675).

Almost surely, 2^11810016 is an apocalyptic number.

11810016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11810016 is an abundant number, since it is smaller than the sum of its proper divisors (22638384).

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

11810016 is a wasteful number, since it uses less digits than its factorization.

11810016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13688 (or 13674 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 11810016 is about 3436.5703833910. The cubic root of 11810016 is about 227.7282079895.

Adding to 11810016 its reverse (61001811), we get a palindrome (72811827).

The spelling of 11810016 in words is "eleven million, eight hundred ten thousand, sixteen".