264605616 has 240 divisors, whose sum is σ = 877443840. Its totient is φ = 76412160.

The previous prime is 264605603. The next prime is 264605641. The reversal of 264605616 is 616506462.

It is a happy number.

264605616 is a `hidden beast` number, since 2 + 646 + 0 + 5 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×264605616² = 140032264037478912, which contains 22 as substring.

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

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, 983530 + ... + 983798.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^264605616 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 264605616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

264605616 is an abundant number, since it is smaller than the sum of its proper divisors (612838224).

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

264605616 is a wasteful number, since it uses less digits than its factorization.

264605616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

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

The square root of 264605616 is about 16266.7026775558. The cubic root of 264605616 is about 641.9970302946.

The spelling of 264605616 in words is "two hundred sixty-four million, six hundred five thousand, six hundred sixteen".