11551904 has 48 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 4568832.

The previous prime is 11551879. The next prime is 11551909. The reversal of 11551904 is 40915511.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (11551909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929 + ... + 4895.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 2^11551904 is an apocalyptic number.

11551904 is a gapful number since it is divisible by the number (14) 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 11551904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

11551904 is an abundant number, since it is smaller than the sum of its proper divisors (16446304).

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

11551904 is a wasteful number, since it uses less digits than its factorization.

11551904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 11551904 is about 3398.8092032357. The cubic root of 11551904 is about 226.0569465184.

The spelling of 11551904 in words is "eleven million, five hundred fifty-one thousand, nine hundred four".