264135680 has 88 divisors (see below), whose sum is σ = 661459392. Its totient is φ = 101015552.

The previous prime is 264135679. The next prime is 264135689. The reversal of 264135680 is 86531462.

It is a self number, because there is not a number n which added to its sum of digits gives 264135680.

It is not an unprimeable number, because it can be changed into a prime (264135689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116639 + ... + 118881.

It is an arithmetic number, because the mean of its divisors is an integer number (7516584).

Almost surely, 2^264135680 is an apocalyptic number.

264135680 is a gapful number since it is divisible by the number (20) 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 264135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330729696).

264135680 is an abundant number, since it is smaller than the sum of its proper divisors (397323712).

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

264135680 is a wasteful number, since it uses less digits than its factorization.

264135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 264135680 is about 16252.2515363257. The cubic root of 264135680 is about 641.6167457274.

The spelling of 264135680 in words is "two hundred sixty-four million, one hundred thirty-five thousand, six hundred eighty".