10006460 has 24 divisors (see below), whose sum is σ = 21527856. Its totient is φ = 3904640.

The previous prime is 10006429. The next prime is 10006463. The reversal of 10006460 is 6460001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006463) 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, 5282 + ... + 6921.

It is an arithmetic number, because the mean of its divisors is an integer number (896994).

Almost surely, 2^10006460 is an apocalyptic number.

10006460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006460 is an abundant number, since it is smaller than the sum of its proper divisors (11521396).

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

10006460 is a wasteful number, since it uses less digits than its factorization.

10006460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12253 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10006460 is about 3163.2989109472. The cubic root of 10006460 is about 215.4898511773.

Adding to 10006460 its reverse (6460001), we get a palindrome (16466461).

The spelling of 10006460 in words is "ten million, six thousand, four hundred sixty".