10874304 has 224 divisors, whose sum is σ = 39014400. Its totient is φ = 2903040.

The previous prime is 10874293. The next prime is 10874317. The reversal of 10874304 is 40347801.

10874304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350769 + ... + 350799.

Almost surely, 2^10874304 is an apocalyptic number.

10874304 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 10874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507200).

10874304 is an abundant number, since it is smaller than the sum of its proper divisors (28140096).

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

10874304 is a wasteful number, since it uses less digits than its factorization.

10874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10874304 is about 3297.6209606321. The cubic root of 10874304 is about 221.5476545331.

The spelling of 10874304 in words is "ten million, eight hundred seventy-four thousand, three hundred four".