10201680 has 80 divisors (see below), whose sum is σ = 35146560. Its totient is φ = 2719872.

The previous prime is 10201663. The next prime is 10201693. The reversal of 10201680 is 8610201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202 + ... + 4521.

It is an arithmetic number, because the mean of its divisors is an integer number (439332).

Almost surely, 2^10201680 is an apocalyptic number.

10201680 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 10201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17573280).

10201680 is an abundant number, since it is smaller than the sum of its proper divisors (24944880).

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

10201680 is a wasteful number, since it uses less digits than its factorization.

10201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10201680 is about 3194.0068879074. The cubic root of 10201680 is about 216.8821944755.

Adding to 10201680 its reverse (8610201), we get a palindrome (18811881).

The spelling of 10201680 in words is "ten million, two hundred one thousand, six hundred eighty".