10814304 has 48 divisors (see below), whose sum is σ = 28643328. Its totient is φ = 3572352.

The previous prime is 10814281. The next prime is 10814341. The reversal of 10814304 is 40341801.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11749 + ... + 12635.

It is an arithmetic number, because the mean of its divisors is an integer number (596736).

Almost surely, 2^10814304 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 10814304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321664).

10814304 is an abundant number, since it is smaller than the sum of its proper divisors (17829024).

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

10814304 is a wasteful number, since it uses less digits than its factorization.

10814304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10814304 is about 3288.5109092110. The cubic root of 10814304 is about 221.1394327688.

The spelling of 10814304 in words is "ten million, eight hundred fourteen thousand, three hundred four".