10207264 has 36 divisors (see below), whose sum is σ = 20741994. Its totient is φ = 4944384.

The previous prime is 10207247. The next prime is 10207271. The reversal of 10207264 is 46270201.

It can be written as a sum of positive squares in 3 ways, for example, as 10112400 + 94864 = 3180^2 + 308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43692 + ... + 43924.

Almost surely, 2^10207264 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 10207264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370997).

10207264 is an abundant number, since it is smaller than the sum of its proper divisors (10534730).

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

10207264 is an equidigital number, since it uses as much as digits as its factorization.

10207264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 10207264 is about 3194.8809054486. The cubic root of 10207264 is about 216.9217581969.

Adding to 10207264 its reverse (46270201), we get a palindrome (56477465).

The spelling of 10207264 in words is "ten million, two hundred seven thousand, two hundred sixty-four".