11895120 has 80 divisors (see below), whose sum is σ = 40979520. Its totient is φ = 3171456.

The previous prime is 11895077. The next prime is 11895137. The reversal of 11895120 is 2159811.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 594 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (512244).

Almost surely, 2^11895120 is an apocalyptic number.

11895120 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 11895120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489760).

11895120 is an abundant number, since it is smaller than the sum of its proper divisors (29084400).

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

11895120 is a wasteful number, since it uses less digits than its factorization.

11895120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11895120 is about 3448.9302689385. The cubic root of 11895120 is about 228.2739090333.

The spelling of 11895120 in words is "eleven million, eight hundred ninety-five thousand, one hundred twenty".