11483616 has 96 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 3594240.

The previous prime is 11483597. The next prime is 11483621. The reversal of 11483616 is 61638411.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188226 + ... + 188286.

It is an arithmetic number, because the mean of its divisors is an integer number (333963).

Almost surely, 2^11483616 is an apocalyptic number.

11483616 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 11483616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

11483616 is an abundant number, since it is smaller than the sum of its proper divisors (20576832).

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

11483616 is a wasteful number, since it uses less digits than its factorization.

11483616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11483616 is about 3388.7484415341. The cubic root of 11483616 is about 225.6106277373.

The spelling of 11483616 in words is "eleven million, four hundred eighty-three thousand, six hundred sixteen".