264016800 has 288 divisors, whose sum is σ = 1012435200. Its totient is φ = 66170880.

The previous prime is 264016787. The next prime is 264016807. The reversal of 264016800 is 8610462.

264016800 is a `hidden beast` number, since 2 + 640 + 16 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (264016807) 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, 366841 + ... + 367559.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2^264016800 is an apocalyptic number.

264016800 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 264016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506217600).

264016800 is an abundant number, since it is smaller than the sum of its proper divisors (748418400).

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

264016800 is a wasteful number, since it uses less digits than its factorization.

264016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 264016800 is about 16248.5937853095. The cubic root of 264016800 is about 641.5204734319.

The spelling of 264016800 in words is "two hundred sixty-four million, sixteen thousand, eight hundred".