10201408 has 42 divisors (see below), whose sum is σ = 23555706. Its totient is φ = 4370688.

The previous prime is 10201403. The next prime is 10201421. The reversal of 10201408 is 80410201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 12544 = 3192^2 + 112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10201391 and 10201400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1510 + ... + 4762.

Almost surely, 2^10201408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777853).

10201408 is an abundant number, since it is smaller than the sum of its proper divisors (13354298).

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

10201408 is an equidigital number, since it uses as much as digits as its factorization.

10201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10201408 is about 3193.9643078782. The cubic root of 10201408 is about 216.8802669341.

Adding to 10201408 its reverse (80410201), we get a palindrome (90611609).

It can be divided in two parts, 10201 and 408, that added together give a square (10609 = 103²).

The spelling of 10201408 in words is "ten million, two hundred one thousand, four hundred eight".