10431264 has 48 divisors (see below), whose sum is σ = 27572832. Its totient is φ = 3452928.

The previous prime is 10431263. The next prime is 10431277. The reversal of 10431264 is 46213401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10431264² = 217622537275392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10431264.

It is not an unprimeable number, because it can be changed into a prime (10431263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18247 + ... + 18809.

It is an arithmetic number, because the mean of its divisors is an integer number (574434).

Almost surely, 2^10431264 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 10431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13786416).

10431264 is an abundant number, since it is smaller than the sum of its proper divisors (17141568).

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

10431264 is a wasteful number, since it uses less digits than its factorization.

10431264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10431264 is about 3229.7467392971. The cubic root of 10431264 is about 218.4970841301.

Adding to 10431264 its reverse (46213401), we get a palindrome (56644665).

The spelling of 10431264 in words is "ten million, four hundred thirty-one thousand, two hundred sixty-four".