10606560 has 96 divisors (see below), whose sum is σ = 35199360. Its totient is φ = 2677248.

The previous prime is 10606517. The next prime is 10606571. The reversal of 10606560 is 6560601.

10606560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10606560² = 224998230067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10606560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8539 + ... + 9701.

It is an arithmetic number, because the mean of its divisors is an integer number (366660).

Almost surely, 2^10606560 is an apocalyptic number.

10606560 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 10606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599680).

10606560 is an abundant number, since it is smaller than the sum of its proper divisors (24592800).

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

10606560 is a wasteful number, since it uses less digits than its factorization.

10606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 10606560 is about 3256.7714073911. The cubic root of 10606560 is about 219.7142295082.

The spelling of 10606560 in words is "ten million, six hundred six thousand, five hundred sixty".