11634816 has 64 divisors (see below), whose sum is σ = 31701600. Its totient is φ = 3778560.

The previous prime is 11634809. The next prime is 11634839. The reversal of 11634816 is 61843611.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15375 + ... + 16113.

Almost surely, 2^11634816 is an apocalyptic number.

11634816 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 11634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850800).

11634816 is an abundant number, since it is smaller than the sum of its proper divisors (20066784).

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

11634816 is an equidigital number, since it uses as much as digits as its factorization.

11634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

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

The square root of 11634816 is about 3410.9846085844. The cubic root of 11634816 is about 226.5964873087.

The spelling of 11634816 in words is "eleven million, six hundred thirty-four thousand, eight hundred sixteen".