10259820 has 36 divisors (see below), whose sum is σ = 31122000. Its totient is φ = 2735904.

The previous prime is 10259819. The next prime is 10259833. The reversal of 10259820 is 2895201.

10259820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28320 + ... + 28679.

It is an arithmetic number, because the mean of its divisors is an integer number (864500).

Almost surely, 2^10259820 is an apocalyptic number.

10259820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10259820 is an abundant number, since it is smaller than the sum of its proper divisors (20862180).

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

10259820 is a wasteful number, since it uses less digits than its factorization.

10259820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57014 (or 57009 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10259820 is about 3203.0953779118. The cubic root of 10259820 is about 217.2934225666.

The spelling of 10259820 in words is "ten million, two hundred fifty-nine thousand, eight hundred twenty".