1968027600 has 720 divisors, whose sum is σ = 8435888640. Its totient is φ = 380851200.

The previous prime is 1968027599. The next prime is 1968027601. The reversal of 1968027600 is 67208691.

It is an interprime number because it is at equal distance from previous prime (1968027599) and next prime (1968027601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968027601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33356371 + ... + 33356429.

It is an arithmetic number, because the mean of its divisors is an integer number (11716512).

Almost surely, 2^1968027600 is an apocalyptic number.

1968027600 is a gapful number since it is divisible by the number (10) 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 1968027600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217944320).

1968027600 is an abundant number, since it is smaller than the sum of its proper divisors (6467861040).

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

1968027600 is a wasteful number, since it uses less digits than its factorization.

1968027600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1968027600 is about 44362.4571005710. The cubic root of 1968027600 is about 1253.1711694774.

It can be divided in two parts, 196802 and 7600, that added together give a palindrome (204402).

The spelling of 1968027600 in words is "one billion, nine hundred sixty-eight million, twenty-seven thousand, six hundred".