10684980 has 96 divisors (see below), whose sum is σ = 34030080. Its totient is φ = 2782080.

The previous prime is 10684967. The next prime is 10684991. The reversal of 10684980 is 8948601.

It is a happy number.

It is a super-2 number, since 2×10684980² = 228337595200800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25170 + ... + 25590.

It is an arithmetic number, because the mean of its divisors is an integer number (354480).

Almost surely, 2^10684980 is an apocalyptic number.

10684980 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 10684980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015040).

10684980 is an abundant number, since it is smaller than the sum of its proper divisors (23345100).

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

10684980 is a wasteful number, since it uses less digits than its factorization.

10684980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10684980 is about 3268.7887665005. The cubic root of 10684980 is about 220.2543889289.

It can be divided in two parts, 106849 and 80, that added together give a square (106929 = 327²).

The spelling of 10684980 in words is "ten million, six hundred eighty-four thousand, nine hundred eighty".