10347264 has 90 divisors (see below), whose sum is σ = 30915500. Its totient is φ = 3442176.

The previous prime is 10347251. The next prime is 10347269. The reversal of 10347264 is 46274301.

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 not an unprimeable number, because it can be changed into a prime (10347269) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20487 + ... + 20985.

Almost surely, 2^10347264 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 10347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457750).

10347264 is an abundant number, since it is smaller than the sum of its proper divisors (20568236).

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

10347264 is an frugal number, since it uses more digits than its factorization.

10347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 10347264 is about 3216.7163381312. The cubic root of 10347264 is about 217.9090044715.

The spelling of 10347264 in words is "ten million, three hundred forty-seven thousand, two hundred sixty-four".