264336840 has 96 divisors (see below), whose sum is σ = 880097400. Its totient is φ = 68766720.

The previous prime is 264336817. The next prime is 264336847. The reversal of 264336840 is 48633462.

It is a happy number.

264336840 is a `hidden beast` number, since 2 + 643 + 3 + 6 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134513604 + 129823236 = 11598^2 + 11394^2 .

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 = 264336795 and 264336804.

It is not an unprimeable number, because it can be changed into a prime (264336847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5806 + ... + 23714.

Almost surely, 2^264336840 is an apocalyptic number.

264336840 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 264336840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440048700).

264336840 is an abundant number, since it is smaller than the sum of its proper divisors (615760560).

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

264336840 is a wasteful number, since it uses less digits than its factorization.

264336840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17967 (or 17960 counting only the distinct ones).

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

The square root of 264336840 is about 16258.4390394650. The cubic root of 264336840 is about 641.7795848579.

The spelling of 264336840 in words is "two hundred sixty-four million, three hundred thirty-six thousand, eight hundred forty".