65259264 has 144 divisors (see below), whose sum is σ = 202764800. Its totient is φ = 18247680.

The previous prime is 65259263. The next prime is 65259269. The reversal of 65259264 is 46295256.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65259263) 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, 327837 + ... + 328035.

Almost surely, 2^65259264 is an apocalyptic number.

65259264 is a gapful number since it is divisible by the number (64) 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 65259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101382400).

65259264 is an abundant number, since it is smaller than the sum of its proper divisors (137505536).

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

65259264 is a wasteful number, since it uses less digits than its factorization.

65259264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 65259264 is about 8078.3206175541. The cubic root of 65259264 is about 402.6064458767.

The spelling of 65259264 in words is "sixty-five million, two hundred fifty-nine thousand, two hundred sixty-four".