10606680 has 256 divisors, whose sum is σ = 42854400. Its totient is φ = 2280960.

The previous prime is 10606639. The next prime is 10606709. The reversal of 10606680 is 8660601.

It is a super-2 number, since 2×10606680² = 225003321244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173850 + ... + 173910.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 2^10606680 is an apocalyptic number.

10606680 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 10606680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

10606680 is an abundant number, since it is smaller than the sum of its proper divisors (32247720).

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

10606680 is a wasteful number, since it uses less digits than its factorization.

10606680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10606680 is about 3256.7898304926. The cubic root of 10606680 is about 219.7150581026.

The spelling of 10606680 in words is "ten million, six hundred six thousand, six hundred eighty".