10567680 has 120 divisors (see below), whose sum is σ = 34601952. Its totient is φ = 2752512.

The previous prime is 10567679. The next prime is 10567703. The reversal of 10567680 is 8676501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10567680² = 223351721164800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245739 + ... + 245781.

Almost surely, 2^10567680 is an apocalyptic number.

10567680 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 10567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17300976).

10567680 is an abundant number, since it is smaller than the sum of its proper divisors (24034272).

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

10567680 is an frugal number, since it uses more digits than its factorization.

10567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 10567680 is about 3250.7968253953. The cubic root of 10567680 is about 219.4454352119.

The spelling of 10567680 in words is "ten million, five hundred sixty-seven thousand, six hundred eighty".