10671264 has 120 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 3383424.

The previous prime is 10671263. The next prime is 10671277. The reversal of 10671264 is 46217601.

It is a super-2 number, since 2×10671264² = 227751750715392, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (10671263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59527 + ... + 59705.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 2^10671264 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 10671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

10671264 is an abundant number, since it is smaller than the sum of its proper divisors (22260096).

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

10671264 is a wasteful number, since it uses less digits than its factorization.

10671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10671264 is about 3266.6900679434. The cubic root of 10671264 is about 220.1601038427.

Adding to 10671264 its reverse (46217601), we get a palindrome (56888865).

The spelling of 10671264 in words is "ten million, six hundred seventy-one thousand, two hundred sixty-four".