264266640 has 240 divisors, whose sum is σ = 985847616. Its totient is φ = 62899200.

The previous prime is 264266609. The next prime is 264266641. The reversal of 264266640 is 46662462.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 264266595 and 264266604.

It is not an unprimeable number, because it can be changed into a prime (264266641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482847 + ... + 483393.

Almost surely, 2^264266640 is an apocalyptic number.

264266640 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 264266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492923808).

264266640 is an abundant number, since it is smaller than the sum of its proper divisors (721580976).

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

264266640 is a wasteful number, since it uses less digits than its factorization.

264266640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 264266640 is about 16256.2800172733. The cubic root of 264266640 is about 641.7227673069.

The spelling of 264266640 in words is "two hundred sixty-four million, two hundred sixty-six thousand, six hundred forty".