10262304 has 72 divisors (see below), whose sum is σ = 31439772. Its totient is φ = 3156480.

The previous prime is 10262303. The next prime is 10262311. The reversal of 10262304 is 40326201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9363600 + 898704 = 3060^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10262303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2374 + ... + 5114.

Almost surely, 2^10262304 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 10262304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15719886).

10262304 is an abundant number, since it is smaller than the sum of its proper divisors (21177468).

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

10262304 is a wasteful number, since it uses less digits than its factorization.

10262304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10262304 is about 3203.4831043725. The cubic root of 10262304 is about 217.3109574196.

Adding to 10262304 its reverse (40326201), we get a palindrome (50588505).

The spelling of 10262304 in words is "ten million, two hundred sixty-two thousand, three hundred four".