11291904 has 162 divisors, whose sum is σ = 36470070. Its totient is φ = 3354624.

The previous prime is 11291899. The next prime is 11291921. The reversal of 11291904 is 40919211.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 11289600 = 48^2 + 3360^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389362 + ... + 389390.

Almost surely, 2^11291904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18235035).

11291904 is an abundant number, since it is smaller than the sum of its proper divisors (25178166).

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

11291904 is a wasteful number, since it uses less digits than its factorization.

11291904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 11291904 is about 3360.3428396519. The cubic root of 11291904 is about 224.3480982275.

The spelling of 11291904 in words is "eleven million, two hundred ninety-one thousand, nine hundred four".