1962786816 has 360 divisors, whose sum is σ = 6440681520. Its totient is φ = 594542592.

The previous prime is 1962786797. The next prime is 1962786817. The reversal of 1962786816 is 6186872691.

1962786816 is a `hidden beast` number, since 1 + 9 + 627 + 8 + 6 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1962786817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67682290 + ... + 67682318.

It is an arithmetic number, because the mean of its divisors is an integer number (17890782).

Almost surely, 2^1962786816 is an apocalyptic number.

1962786816 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 1962786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220340760).

1962786816 is an abundant number, since it is smaller than the sum of its proper divisors (4477894704).

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

1962786816 is an frugal number, since it uses more digits than its factorization.

1962786816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 51 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1962786816 is about 44303.3499410598. The cubic root of 1962786816 is about 1252.0577979285.

The spelling of 1962786816 in words is "one billion, nine hundred sixty-two million, seven hundred eighty-six thousand, eight hundred sixteen".