264327840 has 192 divisors, whose sum is σ = 1057432320. Its totient is φ = 60410880.

The previous prime is 264327839. The next prime is 264327853. The reversal of 264327840 is 48723462.

264327840 is a `hidden beast` number, since 2 + 643 + 2 + 7 + 8 + 4 + 0 = 666.

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 = 264327795 and 264327804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25870 + ... + 34610.

It is an arithmetic number, because the mean of its divisors is an integer number (5507460).

Almost surely, 2^264327840 is an apocalyptic number.

264327840 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 264327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528716160).

264327840 is an abundant number, since it is smaller than the sum of its proper divisors (793104480).

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

264327840 is a wasteful number, since it uses less digits than its factorization.

264327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 264327840 is about 16258.1622577707. The cubic root of 264327840 is about 641.7723011187.

The spelling of 264327840 in words is "two hundred sixty-four million, three hundred twenty-seven thousand, eight hundred forty".