259780164 has 72 divisors (see below), whose sum is σ = 711879840. Its totient is φ = 73511424.

The previous prime is 259780117. The next prime is 259780187. The reversal of 259780164 is 461087952.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60852 + ... + 64980.

It is an arithmetic number, because the mean of its divisors is an integer number (9887220).

Almost surely, 2^259780164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259780164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355939920).

259780164 is an abundant number, since it is smaller than the sum of its proper divisors (452099676).

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

259780164 is a wasteful number, since it uses less digits than its factorization.

259780164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 259780164 is about 16117.6972300636. The cubic root of 259780164 is about 638.0704940074.

The spelling of 259780164 in words is "two hundred fifty-nine million, seven hundred eighty thousand, one hundred sixty-four".