10685980 has 48 divisors (see below), whose sum is σ = 24060960. Its totient is φ = 3974400.

The previous prime is 10685977. The next prime is 10685981. The reversal of 10685980 is 8958601.

It is a super-2 number, since 2×10685980² = 228380337120800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10685981) 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, 22950 + ... + 23410.

It is an arithmetic number, because the mean of its divisors is an integer number (501270).

Almost surely, 2^10685980 is an apocalyptic number.

10685980 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 10685980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030480).

10685980 is an abundant number, since it is smaller than the sum of its proper divisors (13374980).

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

10685980 is a wasteful number, since it uses less digits than its factorization.

10685980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 10685980 is about 3268.9417247788. The cubic root of 10685980 is about 220.2612598673.

Multiplying 10685980 by its sum of digits (37), we get a triangular number (395381260 = T₂₈₁₂₀).

The spelling of 10685980 in words is "ten million, six hundred eighty-five thousand, nine hundred eighty".