1962655968 has 384 divisors, whose sum is σ = 6719569920. Its totient is φ = 487710720.

The previous prime is 1962655963. The next prime is 1962656023. The reversal of 1962655968 is 8695562691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1962655963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15453921 + ... + 15454047.

It is an arithmetic number, because the mean of its divisors is an integer number (17498880).

Almost surely, 2^1962655968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1962655968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359784960).

1962655968 is an abundant number, since it is smaller than the sum of its proper divisors (4756913952).

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

1962655968 is a wasteful number, since it uses less digits than its factorization.

1962655968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 57.

The square root of 1962655968 is about 44301.8731883879. The cubic root of 1962655968 is about 1252.0299747508.

The spelling of 1962655968 in words is "one billion, nine hundred sixty-two million, six hundred fifty-five thousand, nine hundred sixty-eight".