10259840 has 128 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 3604480.

The previous prime is 10259839. The next prime is 10259849. The reversal of 10259840 is 4895201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10259849) 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, 250220 + ... + 250260.

Almost surely, 2^10259840 is an apocalyptic number.

10259840 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 10259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

10259840 is an abundant number, since it is smaller than the sum of its proper divisors (17500480).

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

10259840 is a wasteful number, since it uses less digits than its factorization.

10259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 10259840 is about 3203.0984998904. The cubic root of 10259840 is about 217.2935637603.

The spelling of 10259840 in words is "ten million, two hundred fifty-nine thousand, eight hundred forty".