264288648 has 32 divisors (see below), whose sum is σ = 711547200. Its totient is φ = 81319488.

The previous prime is 264288643. The next prime is 264288677. The reversal of 264288648 is 846882462.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 264288597 and 264288606.

It is not an unprimeable number, because it can be changed into a prime (264288641) 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, 423228 + ... + 423851.

It is an arithmetic number, because the mean of its divisors is an integer number (22235850).

Almost surely, 2^264288648 is an apocalyptic number.

It is an amenable number.

264288648 is an abundant number, since it is smaller than the sum of its proper divisors (447258552).

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

264288648 is a wasteful number, since it uses less digits than its factorization.

264288648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847101 (or 847097 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 264288648 is about 16256.9569108121. The cubic root of 264288648 is about 641.7405809346.

The spelling of 264288648 in words is "two hundred sixty-four million, two hundred eighty-eight thousand, six hundred forty-eight".