11998560 has 96 divisors (see below), whose sum is σ = 43206912. Its totient is φ = 2741760.

The previous prime is 11998541. The next prime is 11998577. The reversal of 11998560 is 6589911.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1575 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (450072).

Almost surely, 2^11998560 is an apocalyptic number.

11998560 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 11998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21603456).

11998560 is an abundant number, since it is smaller than the sum of its proper divisors (31208352).

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

11998560 is a wasteful number, since it uses less digits than its factorization.

11998560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 11998560 is about 3463.8937628051. The cubic root of 11998560 is about 228.9336904304.

The spelling of 11998560 in words is "eleven million, nine hundred ninety-eight thousand, five hundred sixty".