10084680 has 96 divisors (see below), whose sum is σ = 33204600. Its totient is φ = 2654208.

The previous prime is 10084673. The next prime is 10084691. The reversal of 10084680 is 8648001.

It can be written as a sum of positive squares in 4 ways, for example, as 10074276 + 10404 = 3174^2 + 102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39112 + ... + 39368.

Almost surely, 2^10084680 is an apocalyptic number.

10084680 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 10084680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16602300).

10084680 is an abundant number, since it is smaller than the sum of its proper divisors (23119920).

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

10084680 is a wasteful number, since it uses less digits than its factorization.

10084680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10084680 is about 3175.6385184715. The cubic root of 10084680 is about 216.0498855973.

The spelling of 10084680 in words is "ten million, eighty-four thousand, six hundred eighty".