10210640 has 80 divisors (see below), whose sum is σ = 26623296. Its totient is φ = 3609600.

The previous prime is 10210637. The next prime is 10210649. The reversal of 10210640 is 4601201.

10210640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210649) 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, 35939 + ... + 36221.

Almost surely, 2^10210640 is an apocalyptic number.

10210640 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 10210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311648).

10210640 is an abundant number, since it is smaller than the sum of its proper divisors (16412656).

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

10210640 is a wasteful number, since it uses less digits than its factorization.

10210640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10210640 is about 3195.4092069718. The cubic root of 10210640 is about 216.9456708122.

Adding to 10210640 its reverse (4601201), we get a palindrome (14811841).

The spelling of 10210640 in words is "ten million, two hundred ten thousand, six hundred forty".