11151840 has 96 divisors (see below), whose sum is σ = 40158720. Its totient is φ = 2548224.

The previous prime is 11151839. The next prime is 11151853. The reversal of 11151840 is 4815111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1701 + ... + 5019.

It is an arithmetic number, because the mean of its divisors is an integer number (418320).

Almost surely, 2^11151840 is an apocalyptic number.

11151840 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 11151840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360).

11151840 is an abundant number, since it is smaller than the sum of its proper divisors (29006880).

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

11151840 is a wasteful number, since it uses less digits than its factorization.

11151840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 11151840 is about 3339.4370783113. The cubic root of 11151840 is about 223.4166368281.

Adding to 11151840 its reverse (4815111), we get a palindrome (15966951).

The spelling of 11151840 in words is "eleven million, one hundred fifty-one thousand, eight hundred forty".