10268820 has 72 divisors (see below), whose sum is σ = 31547880. Its totient is φ = 2703360.

The previous prime is 10268809. The next prime is 10268821. The reversal of 10268820 is 2886201.

It can be written as a sum of positive squares in 4 ways, for example, as 1483524 + 8785296 = 1218^2 + 2964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10268821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15700 + ... + 16340.

It is an arithmetic number, because the mean of its divisors is an integer number (438165).

Almost surely, 2^10268820 is an apocalyptic number.

10268820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3204×3205.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10268820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15773940).

10268820 is an abundant number, since it is smaller than the sum of its proper divisors (21279060).

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

10268820 is a wasteful number, since it uses less digits than its factorization.

10268820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10268820 is about 3204.4999609924. The cubic root of 10268820 is about 217.3569412004.

The spelling of 10268820 in words is "ten million, two hundred sixty-eight thousand, eight hundred twenty".