10407264 has 96 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 2795520.

The previous prime is 10407263. The next prime is 10407277. The reversal of 10407264 is 46270401.

10407264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10407264² = 216622287931392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10969 + ... + 11879.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 2^10407264 is an apocalyptic number.

10407264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10407264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

10407264 is an abundant number, since it is smaller than the sum of its proper divisors (22687392).

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

10407264 is a wasteful number, since it uses less digits than its factorization.

10407264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10407264 is about 3226.0291381201. The cubic root of 10407264 is about 218.3293845151.

Adding to 10407264 its reverse (46270401), we get a palindrome (56677665).

The spelling of 10407264 in words is "ten million, four hundred seven thousand, two hundred sixty-four".