1264367616 has 96 divisors (see below), whose sum is σ = 3548563200. Its totient is φ = 399237120.

The previous prime is 1264367609. The next prime is 1264367617. The reversal of 1264367616 is 6167634621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264367617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111321 + ... + 122151.

It is an arithmetic number, because the mean of its divisors is an integer number (36964200).

Almost surely, 2^1264367616 is an apocalyptic number.

1264367616 is a gapful number since it is divisible by the number (16) 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 1264367616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774281600).

1264367616 is an abundant number, since it is smaller than the sum of its proper divisors (2284195584).

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

1264367616 is a wasteful number, since it uses less digits than its factorization.

1264367616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10855 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 1264367616 is about 35557.9472973342. The cubic root of 1264367616 is about 1081.3288444137.

The spelling of 1264367616 in words is "one billion, two hundred sixty-four million, three hundred sixty-seven thousand, six hundred sixteen".