264103616 has 56 divisors (see below), whose sum is σ = 602443296. Its totient is φ = 112527360.

The previous prime is 264103613. The next prime is 264103633. The reversal of 264103616 is 616301462.

It is a happy number.

264103616 is digitally balanced in base 3, 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 (56).

It is not an unprimeable number, because it can be changed into a prime (264103613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79460 + ... + 82716.

It is an arithmetic number, because the mean of its divisors is an integer number (10757916).

Almost surely, 2^264103616 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 264103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301221648).

264103616 is an abundant number, since it is smaller than the sum of its proper divisors (338339680).

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

264103616 is a wasteful number, since it uses less digits than its factorization.

264103616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 264103616 is about 16251.2650584501. The cubic root of 264103616 is about 641.5907822632.

The spelling of 264103616 in words is "two hundred sixty-four million, one hundred three thousand, six hundred sixteen".