11958160 has 80 divisors (see below), whose sum is σ = 29748096. Its totient is φ = 4460544.

The previous prime is 11958119. The next prime is 11958181. The reversal of 11958160 is 6185911.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123232 + ... + 123328.

Almost surely, 2^11958160 is an apocalyptic number.

11958160 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 11958160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874048).

11958160 is an abundant number, since it is smaller than the sum of its proper divisors (17789936).

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

11958160 is a wasteful number, since it uses less digits than its factorization.

11958160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 11958160 is about 3458.0572580569. The cubic root of 11958160 is about 228.6764561971.

The spelling of 11958160 in words is "eleven million, nine hundred fifty-eight thousand, one hundred sixty".