10556040 has 96 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 2555520.

The previous prime is 10556033. The next prime is 10556047. The reversal of 10556040 is 4065501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10556033) and next prime (10556047).

It is a super-2 number, since 2×10556040² = 222859960963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10555998 and 10556016.

It is not an unprimeable number, because it can be changed into a prime (10556047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14157 + ... + 14883.

It is an arithmetic number, because the mean of its divisors is an integer number (363090).

Almost surely, 2^10556040 is an apocalyptic number.

10556040 is a gapful number since it is divisible by the number (10) 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 10556040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

10556040 is an abundant number, since it is smaller than the sum of its proper divisors (24300600).

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

10556040 is a wasteful number, since it uses less digits than its factorization.

10556040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10556040 is about 3249.0060018412. The cubic root of 10556040 is about 219.3648346358.

The spelling of 10556040 in words is "ten million, five hundred fifty-six thousand, forty".