11306904 has 128 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 2930688.

The previous prime is 11306891. The next prime is 11306927. The reversal of 11306904 is 40960311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105619 + ... + 105725.

It is an arithmetic number, because the mean of its divisors is an integer number (277020).

Almost surely, 2^11306904 is an apocalyptic number.

11306904 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 11306904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

11306904 is an abundant number, since it is smaller than the sum of its proper divisors (24151656).

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

11306904 is a wasteful number, since it uses less digits than its factorization.

11306904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 11306904 is about 3362.5740140553. The cubic root of 11306904 is about 224.4473945159.

The spelling of 11306904 in words is "eleven million, three hundred six thousand, nine hundred four".