10264672 has 48 divisors (see below), whose sum is σ = 22320144. Its totient is φ = 4646400.

The previous prime is 10264663. The next prime is 10264679. The reversal of 10264672 is 27646201.

It is a self number, because there is not a number n which added to its sum of digits gives 10264672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42472 + ... + 42712.

It is an arithmetic number, because the mean of its divisors is an integer number (465003).

Almost surely, 2^10264672 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 10264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160072).

10264672 is an abundant number, since it is smaller than the sum of its proper divisors (12055472).

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

10264672 is an equidigital number, since it uses as much as digits as its factorization.

10264672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 10264672 is about 3203.8526807580. The cubic root of 10264672 is about 217.3276707806.

The spelling of 10264672 in words is "ten million, two hundred sixty-four thousand, six hundred seventy-two".