11905488 has 160 divisors (see below), whose sum is σ = 40632320. Its totient is φ = 3265920.

The previous prime is 11905483. The next prime is 11905499. The reversal of 11905488 is 88450911.

11905488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11905483) 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, 93681 + ... + 93807.

It is an arithmetic number, because the mean of its divisors is an integer number (253952).

Almost surely, 2^11905488 is an apocalyptic number.

11905488 is a gapful number since it is divisible by the number (18) 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 11905488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316160).

11905488 is an abundant number, since it is smaller than the sum of its proper divisors (28726832).

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

11905488 is a wasteful number, since it uses less digits than its factorization.

11905488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11905488 is about 3450.4330163039. The cubic root of 11905488 is about 228.3402123181.

The spelling of 11905488 in words is "eleven million, nine hundred five thousand, four hundred eighty-eight".