10245840 has 80 divisors (see below), whose sum is σ = 34658496. Its totient is φ = 2483200.

The previous prime is 10245839. The next prime is 10245847. The reversal of 10245840 is 4854201.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10245840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10245847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700 + ... + 4580.

Almost surely, 2^10245840 is an apocalyptic number.

10245840 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 10245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329248).

10245840 is an abundant number, since it is smaller than the sum of its proper divisors (24412656).

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

10245840 is a wasteful number, since it uses less digits than its factorization.

10245840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10245840 is about 3200.9123699345. The cubic root of 10245840 is about 217.1946832502.

The spelling of 10245840 in words is "ten million, two hundred forty-five thousand, eight hundred forty".