264695040 has 432 divisors, whose sum is σ = 1017813888. Its totient is φ = 65691648.

The previous prime is 264695033. The next prime is 264695087. The reversal of 264695040 is 40596462.

264695040 is a `hidden beast` number, since 2 + 646 + 9 + 5 + 0 + 4 + 0 = 666.

264695040 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 (432).

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 = 264694986 and 264695004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7153902 + ... + 7153938.

Almost surely, 2^264695040 is an apocalyptic number.

264695040 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 264695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508906944).

264695040 is an abundant number, since it is smaller than the sum of its proper divisors (753118848).

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

264695040 is an equidigital number, since it uses as much as digits as its factorization.

264695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 264695040 is about 16269.4511278039. The cubic root of 264695040 is about 642.0693435448.

The spelling of 264695040 in words is "two hundred sixty-four million, six hundred ninety-five thousand, forty".