10001684 has 36 divisors (see below), whose sum is σ = 22216320. Its totient is φ = 3895920.

The previous prime is 10001659. The next prime is 10001687. The reversal of 10001684 is 48610001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (617120).

Almost surely, 2^10001684 is an apocalyptic number.

10001684 is a gapful number since it is divisible by the number (14) 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 10001684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108160).

10001684 is an abundant number, since it is smaller than the sum of its proper divisors (12214636).

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

10001684 is a wasteful number, since it uses less digits than its factorization.

10001684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10001684 is about 3162.5439127386. The cubic root of 10001684 is about 215.4555618845.

Adding to 10001684 its reverse (48610001), we get a palindrome (58611685).

The spelling of 10001684 in words is "ten million, one thousand, six hundred eighty-four".