10567480 has 128 divisors (see below), whose sum is σ = 30689280. Its totient is φ = 3179520.

The previous prime is 10567429. The next prime is 10567481. The reversal of 10567480 is 8476501.

10567480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10567480³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10567481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144724 + ... + 144796.

It is an arithmetic number, because the mean of its divisors is an integer number (239760).

Almost surely, 2^10567480 is an apocalyptic number.

10567480 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 10567480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344640).

10567480 is an abundant number, since it is smaller than the sum of its proper divisors (20121800).

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

10567480 is a wasteful number, since it uses less digits than its factorization.

10567480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 10567480 is about 3250.7660635610. The cubic root of 10567480 is about 219.4440508221. Note that the first 3 decimals are identical.

The spelling of 10567480 in words is "ten million, five hundred sixty-seven thousand, four hundred eighty".