259226064 has 90 divisors (see below), whose sum is σ = 770781830. Its totient is φ = 81312768.

The previous prime is 259226039. The next prime is 259226083. The reversal of 259226064 is 460622952.

259226064 is a `hidden beast` number, since 2 + 592 + 2 + 6 + 0 + 64 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 105267600 + 153958464 = 10260^2 + 12408^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38502 + ... + 44730.

Almost surely, 2^259226064 is an apocalyptic number.

259226064 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 259226064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385390915).

259226064 is an abundant number, since it is smaller than the sum of its proper divisors (511555766).

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

259226064 is a wasteful number, since it uses less digits than its factorization.

259226064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 259226064 is about 16100.4988742585. The cubic root of 259226064 is about 637.6165120378.

The spelling of 259226064 in words is "two hundred fifty-nine million, two hundred twenty-six thousand, sixty-four".