1264914816 has 128 divisors (see below), whose sum is σ = 3858537600. Its totient is φ = 363110400.

The previous prime is 1264914803. The next prime is 1264914829. The reversal of 1264914816 is 6184194621.

It is an interprime number because it is at equal distance from previous prime (1264914803) and next prime (1264914829).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72376 + ... + 88136.

It is an arithmetic number, because the mean of its divisors is an integer number (30144825).

Almost surely, 2^1264914816 is an apocalyptic number.

1264914816 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 1264914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929268800).

1264914816 is an abundant number, since it is smaller than the sum of its proper divisors (2593622784).

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

1264914816 is a wasteful number, since it uses less digits than its factorization.

1264914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15808 (or 15796 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1264914816 is about 35565.6409474088. The cubic root of 1264914816 is about 1081.4848164049.

The spelling of 1264914816 in words is "one billion, two hundred sixty-four million, nine hundred fourteen thousand, eight hundred sixteen".