264665016 has 128 divisors (see below), whose sum is σ = 916646400. Its totient is φ = 68739840.

The previous prime is 264664951. The next prime is 264665017. The reversal of 264665016 is 610566462.

It is a happy number.

264665016 is a `hidden beast` number, since 2 + 646 + 6 + 5 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264665017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8676 + ... + 24588.

It is an arithmetic number, because the mean of its divisors is an integer number (7161300).

Almost surely, 2^264665016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264665016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458323200).

264665016 is an abundant number, since it is smaller than the sum of its proper divisors (651981384).

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

264665016 is a wasteful number, since it uses less digits than its factorization.

264665016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946 (or 15936 counting only the distinct ones).

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

The square root of 264665016 is about 16268.5283907304. The cubic root of 264665016 is about 642.0450662748.

The spelling of 264665016 in words is "two hundred sixty-four million, six hundred sixty-five thousand, sixteen".