11633680 has 40 divisors (see below), whose sum is σ = 27926784. Its totient is φ = 4502400.

The previous prime is 11633663. The next prime is 11633701. The reversal of 11633680 is 8633611.

It is a tau number, because it is divible by the number of its divisors (40).

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, 135 + ... + 4825.

Almost surely, 2^11633680 is an apocalyptic number.

11633680 is a gapful number since it is divisible by the number (10) 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 11633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963392).

11633680 is an abundant number, since it is smaller than the sum of its proper divisors (16293104).

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

11633680 is a wasteful number, since it uses less digits than its factorization.

11633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 11633680 is about 3410.8180836861. The cubic root of 11633680 is about 226.5891122604.

The spelling of 11633680 in words is "eleven million, six hundred thirty-three thousand, six hundred eighty".