264608640 has 128 divisors (see below), whose sum is σ = 937216800. Its totient is φ = 70557696.

The previous prime is 264608639. The next prime is 264608647. The reversal of 264608640 is 46806462.

It is a happy number.

264608640 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 0 + 8 + 640 = 666.

264608640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 264608595 and 264608604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264608647) 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, 9624 + ... + 24936.

Almost surely, 2^264608640 is an apocalyptic number.

264608640 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 264608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468608400).

264608640 is an abundant number, since it is smaller than the sum of its proper divisors (672608160).

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

264608640 is a wasteful number, since it uses less digits than its factorization.

264608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341 (or 15323 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 264608640 is about 16266.7956279041. The cubic root of 264608640 is about 641.9994759363. Note that the first 3 decimals are identical.

It can be divided in two parts, 26460 and 8640, that multiplied together give a square (228614400 = 15120²).

The spelling of 264608640 in words is "two hundred sixty-four million, six hundred eight thousand, six hundred forty".