1264762416 has 80 divisors (see below), whose sum is σ = 3366252800. Its totient is φ = 408893184.

The previous prime is 1264762399. The next prime is 1264762439. The reversal of 1264762416 is 6142674621.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672165 + ... + 674043.

It is an arithmetic number, because the mean of its divisors is an integer number (42078160).

Almost surely, 2^1264762416 is an apocalyptic number.

1264762416 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 1264762416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683126400).

1264762416 is an abundant number, since it is smaller than the sum of its proper divisors (2101490384).

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

1264762416 is a wasteful number, since it uses less digits than its factorization.

1264762416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2300 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 1264762416 is about 35563.4983655995. The cubic root of 1264762416 is about 1081.4413813573.

The spelling of 1264762416 in words is "one billion, two hundred sixty-four million, seven hundred sixty-two thousand, four hundred sixteen".