1962382968 has 144 divisors (see below), whose sum is σ = 6658240680. Its totient is φ = 517539456.

The previous prime is 1962382967. The next prime is 1962382969. The reversal of 1962382968 is 8692832691.

1962382968 is a `hidden beast` number, since 1 + 9 + 623 + 8 + 2 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1962382967) and next prime (1962382969).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1962382967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24471 + ... + 67257.

Almost surely, 2^1962382968 is an apocalyptic number.

1962382968 is a gapful number since it is divisible by the number (18) 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 1962382968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329120340).

1962382968 is an abundant number, since it is smaller than the sum of its proper divisors (4695857712).

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

1962382968 is a wasteful number, since it uses less digits than its factorization.

1962382968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42826 (or 42812 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1962382968 is about 44298.7919474109. The cubic root of 1962382968 is about 1251.9719207604.

The spelling of 1962382968 in words is "one billion, nine hundred sixty-two million, three hundred eighty-two thousand, nine hundred sixty-eight".