10201360 has 80 divisors (see below), whose sum is σ = 27092016. Its totient is φ = 3538944.

The previous prime is 10201267. The next prime is 10201361. The reversal of 10201360 is 6310201.

It can be written as a sum of positive squares in 8 ways, for example, as 541696 + 9659664 = 736^2 + 3108^2 .

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 (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10201360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17392 + ... + 17968.

Almost surely, 2^10201360 is an apocalyptic number.

10201360 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 10201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546008).

10201360 is an abundant number, since it is smaller than the sum of its proper divisors (16890656).

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

10201360 is a wasteful number, since it uses less digits than its factorization.

10201360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10201360 is about 3193.9567936965. The cubic root of 10201360 is about 216.8799267762.

Adding to 10201360 its reverse (6310201), we get a palindrome (16511561).

The spelling of 10201360 in words is "ten million, two hundred one thousand, three hundred sixty".