11604880 has 160 divisors (see below), whose sum is σ = 34712064. Its totient is φ = 3514368.

The previous prime is 11604871. The next prime is 11604889. The reversal of 11604880 is 8840611.

It is an interprime number because it is at equal distance from previous prime (11604871) and next prime (11604889).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11604889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218934 + ... + 218986.

Almost surely, 2^11604880 is an apocalyptic number.

11604880 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 11604880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356032).

11604880 is an abundant number, since it is smaller than the sum of its proper divisors (23107184).

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

11604880 is a wasteful number, since it uses less digits than its factorization.

11604880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 11604880 is about 3406.5936065225. The cubic root of 11604880 is about 226.4019786148.

The spelling of 11604880 in words is "eleven million, six hundred four thousand, eight hundred eighty".