264290688 has 192 divisors, whose sum is σ = 818672400. Its totient is φ = 84768768.

The previous prime is 264290681. The next prime is 264290707. The reversal of 264290688 is 886092462.

It is a tau number, because it is divible by the number of its divisors (192).

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 (264290681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901870 + ... + 902162.

Almost surely, 2^264290688 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 264290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409336200).

264290688 is an abundant number, since it is smaller than the sum of its proper divisors (554381712).

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

264290688 is an equidigital number, since it uses as much as digits as its factorization.

264290688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 264290688 is about 16257.0196530606. The cubic root of 264290688 is about 641.7422320932.

The spelling of 264290688 in words is "two hundred sixty-four million, two hundred ninety thousand, six hundred eighty-eight".