1968569460 has 576 divisors, whose sum is σ = 7570402560. Its totient is φ = 420526080.

The previous prime is 1968569459. The next prime is 1968569483. The reversal of 1968569460 is 649658691.

It is a happy number.

1968569460 is a `hidden beast` number, since 19 + 6 + 8 + 569 + 4 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1968569397 and 1968569406.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 37142794 + ... + 37142846.

It is an arithmetic number, because the mean of its divisors is an integer number (13143060).

Almost surely, 2^1968569460 is an apocalyptic number.

1968569460 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 1968569460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785201280).

1968569460 is an abundant number, since it is smaller than the sum of its proper divisors (5601833100).

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

1968569460 is a wasteful number, since it uses less digits than its factorization.

1968569460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 1968569460 is about 44368.5638712817. The cubic root of 1968569460 is about 1253.2861714246.

The spelling of 1968569460 in words is "one billion, nine hundred sixty-eight million, five hundred sixty-nine thousand, four hundred sixty".