11906160 has 160 divisors (see below), whose sum is σ = 44520960. Its totient is φ = 2571264.

The previous prime is 11906159. The next prime is 11906161. The reversal of 11906160 is 6160911.

11906160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11906159) and next prime (11906161).

It is a super-3 number, since 3×11906160³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11906160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11906161) 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, 31734 + ... + 32106.

It is an arithmetic number, because the mean of its divisors is an integer number (278256).

Almost surely, 2^11906160 is an apocalyptic number.

11906160 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 11906160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260480).

11906160 is an abundant number, since it is smaller than the sum of its proper divisors (32614800).

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

11906160 is a wasteful number, since it uses less digits than its factorization.

11906160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 11906160 is about 3450.5303940119. The cubic root of 11906160 is about 228.3445084247.

The spelling of 11906160 in words is "eleven million, nine hundred six thousand, one hundred sixty".