10262640 has 80 divisors (see below), whose sum is σ = 32381856. Its totient is φ = 2688000.

The previous prime is 10262633. The next prime is 10262647. The reversal of 10262640 is 4626201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10262633) and next prime (10262647).

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 (10262647) 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, 14290 + ... + 14990.

Almost surely, 2^10262640 is an apocalyptic number.

10262640 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 10262640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190928).

10262640 is an abundant number, since it is smaller than the sum of its proper divisors (22119216).

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

10262640 is a wasteful number, since it uses less digits than its factorization.

10262640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10262640 is about 3203.5355468607. The cubic root of 10262640 is about 217.3133290666.

Adding to 10262640 its reverse (4626201), we get a palindrome (14888841).

The spelling of 10262640 in words is "ten million, two hundred sixty-two thousand, six hundred forty".