259376064 has 112 divisors (see below), whose sum is σ = 711037440. Its totient is φ = 83399680.

The previous prime is 259376063. The next prime is 259376069. The reversal of 259376064 is 460673952.

It is a super-2 number, since 2×259376064² = 134551885152264192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259376063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722317 + ... + 722675.

Almost surely, 2^259376064 is an apocalyptic number.

259376064 is a gapful number since it is divisible by the number (24) 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 259376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355518720).

259376064 is an abundant number, since it is smaller than the sum of its proper divisors (451661376).

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

259376064 is a wasteful number, since it uses less digits than its factorization.

259376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 259376064 is about 16105.1564413389. The cubic root of 259376064 is about 637.7394729695.

The spelling of 259376064 in words is "two hundred fifty-nine million, three hundred seventy-six thousand, sixty-four".