11603680 has 96 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 3985920.

The previous prime is 11603677. The next prime is 11603693. The reversal of 11603680 is 8630611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33267 + ... + 33613.

It is an arithmetic number, because the mean of its divisors is an integer number (328860).

Almost surely, 2^11603680 is an apocalyptic number.

11603680 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 11603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785280).

11603680 is an abundant number, since it is smaller than the sum of its proper divisors (19966880).

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

11603680 is a wasteful number, since it uses less digits than its factorization.

11603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 11603680 is about 3406.4174729472. The cubic root of 11603680 is about 226.3941746640.

The spelling of 11603680 in words is "eleven million, six hundred three thousand, six hundred eighty".