11849760 has 192 divisors, whose sum is σ = 44876160. Its totient is φ = 2903040.

The previous prime is 11849759. The next prime is 11849767. The reversal of 11849760 is 6794811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11849767) 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, 56055 + ... + 56265.

It is an arithmetic number, because the mean of its divisors is an integer number (233730).

Almost surely, 2^11849760 is an apocalyptic number.

11849760 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 11849760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438080).

11849760 is an abundant number, since it is smaller than the sum of its proper divisors (33026400).

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

11849760 is a wasteful number, since it uses less digits than its factorization.

11849760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11849760 is about 3442.3480358616. The cubic root of 11849760 is about 227.9833782897.

The spelling of 11849760 in words is "eleven million, eight hundred forty-nine thousand, seven hundred sixty".