259946160 has 80 divisors (see below), whose sum is σ = 831851520. Its totient is φ = 67080960.

The previous prime is 259946119. The next prime is 259946171. The reversal of 259946160 is 61649952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10030 + ... + 24909.

It is an arithmetic number, because the mean of its divisors is an integer number (10398144).

Almost surely, 2^259946160 is an apocalyptic number.

259946160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259946160 is an abundant number, since it is smaller than the sum of its proper divisors (571905360).

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

259946160 is a wasteful number, since it uses less digits than its factorization.

259946160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34986 (or 34980 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 259946160 is about 16122.8459026315. The cubic root of 259946160 is about 638.2063711996.

The spelling of 259946160 in words is "two hundred fifty-nine million, nine hundred forty-six thousand, one hundred sixty".