1968780 has 96 divisors (see below), whose sum is σ = 6370560. Its totient is φ = 449280.

The previous prime is 1968773. The next prime is 1968797. The reversal of 1968780 is 878691.

1968780 = T₁₆₆ + T₁₆₇ + ... + T₂₅₃.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12462 + ... + 12618.

It is an arithmetic number, because the mean of its divisors is an integer number (66360).

2^1968780 is an apocalyptic number.

1968780 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 1968780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185280).

1968780 is an abundant number, since it is smaller than the sum of its proper divisors (4401780).

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

1968780 is a wasteful number, since it uses less digits than its factorization.

1968780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1968780 is about 1403.1322104492. The cubic root of 1968780 is about 125.3330849801. Note that the first 3 decimals are identical.

The spelling of 1968780 in words is "one million, nine hundred sixty-eight thousand, seven hundred eighty".