259170840 has 160 divisors (see below), whose sum is σ = 892805760. Its totient is φ = 67392000.

The previous prime is 259170839. The next prime is 259170853. The reversal of 259170840 is 48071952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 259170795 and 259170804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131865 + ... + 133815.

It is an arithmetic number, because the mean of its divisors is an integer number (5580036).

Almost surely, 2^259170840 is an apocalyptic number.

259170840 is a gapful number since it is divisible by the number (20) 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 259170840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446402880).

259170840 is an abundant number, since it is smaller than the sum of its proper divisors (633634920).

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

259170840 is a wasteful number, since it uses less digits than its factorization.

259170840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 259170840 is about 16098.7838049960. The cubic root of 259170840 is about 637.5712307951.

The spelling of 259170840 in words is "two hundred fifty-nine million, one hundred seventy thousand, eight hundred forty".