10690680 has 256 divisors, whose sum is σ = 43545600. Its totient is φ = 2027520.

The previous prime is 10690663. The next prime is 10690697. The reversal of 10690680 is 8609601.

It is an interprime number because it is at equal distance from previous prime (10690663) and next prime (10690697).

It is a super-2 number, since 2×10690680² = 228581277724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 120076 + ... + 120164.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^10690680 is an apocalyptic number.

10690680 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 10690680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

10690680 is an abundant number, since it is smaller than the sum of its proper divisors (32854920).

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

10690680 is a wasteful number, since it uses less digits than its factorization.

10690680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10690680 is about 3269.6605328382. The cubic root of 10690680 is about 220.2935475372.

The spelling of 10690680 in words is "ten million, six hundred ninety thousand, six hundred eighty".