10458640 has 40 divisors (see below), whose sum is σ = 24462720. Its totient is φ = 4158336.

The previous prime is 10458631. The next prime is 10458653. The reversal of 10458640 is 4685401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 10458599 and 10458608.

It is an unprimeable number.

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, 18847 + ... + 19393.

It is an arithmetic number, because the mean of its divisors is an integer number (611568).

Almost surely, 2^10458640 is an apocalyptic number.

10458640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10458640 is an abundant number, since it is smaller than the sum of its proper divisors (14004080).

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

10458640 is a wasteful number, since it uses less digits than its factorization.

10458640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 10458640 is about 3233.9820655038. The cubic root of 10458640 is about 218.6880597418.

The spelling of 10458640 in words is "ten million, four hundred fifty-eight thousand, six hundred forty".