10259040 has 192 divisors, whose sum is σ = 37013760. Its totient is φ = 2365440.

The previous prime is 10259023. The next prime is 10259059. The reversal of 10259040 is 4095201.

It is a junction number, because it is equal to n+sod(n) for n = 10258998 and 10259016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153087 + ... + 153153.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 2^10259040 is an apocalyptic number.

10259040 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 10259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

10259040 is an abundant number, since it is smaller than the sum of its proper divisors (26754720).

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

10259040 is a wasteful number, since it uses less digits than its factorization.

10259040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10259040 is about 3202.9736183740. The cubic root of 10259040 is about 217.2879158695.

The spelling of 10259040 in words is "ten million, two hundred fifty-nine thousand, forty".