10506460 has 24 divisors (see below), whose sum is σ = 22125600. Its totient is φ = 4190784.

The previous prime is 10506451. The next prime is 10506467. The reversal of 10506460 is 6460501.

It is a super-2 number, since 2×10506460² = 220771403463200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506467) 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, 11542 + ... + 12418.

It is an arithmetic number, because the mean of its divisors is an integer number (921900).

Almost surely, 2^10506460 is an apocalyptic number.

10506460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506460 is an abundant number, since it is smaller than the sum of its proper divisors (11619140).

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

10506460 is a wasteful number, since it uses less digits than its factorization.

10506460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10506460 is about 3241.3669955746. The cubic root of 10506460 is about 219.0208552382.

Adding to 10506460 its reverse (6460501), we get a palindrome (16966961).

The spelling of 10506460 in words is "ten million, five hundred six thousand, four hundred sixty".