10567040 has 128 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 3594240.

The previous prime is 10567027. The next prime is 10567043. The reversal of 10567040 is 4076501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10567040² = 223324668723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10566997 and 10567015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10567043) 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, 133721 + ... + 133799.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 2^10567040 is an apocalyptic number.

10567040 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 10567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

10567040 is an abundant number, since it is smaller than the sum of its proper divisors (18808960).

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

10567040 is a wasteful number, since it uses less digits than its factorization.

10567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10567040 is about 3250.6983865010. The cubic root of 10567040 is about 219.4410051032.

The spelling of 10567040 in words is "ten million, five hundred sixty-seven thousand, forty".