11958360 has 64 divisors (see below), whose sum is σ = 36115200. Its totient is φ = 3167616.

The previous prime is 11958341. The next prime is 11958371. The reversal of 11958360 is 6385911.

11958360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 27021 + ... + 27459.

It is an arithmetic number, because the mean of its divisors is an integer number (564300).

Almost surely, 2^11958360 is an apocalyptic number.

11958360 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 11958360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057600).

11958360 is an abundant number, since it is smaller than the sum of its proper divisors (24156840).

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

11958360 is a wasteful number, since it uses less digits than its factorization.

11958360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 11958360 is about 3458.0861759071. The cubic root of 11958360 is about 228.6777310598.

The spelling of 11958360 in words is "eleven million, nine hundred fifty-eight thousand, three hundred sixty".