1968980 has 24 divisors (see below), whose sum is σ = 4453512. Its totient is φ = 726912.

The previous prime is 1968979. The next prime is 1968983. The reversal of 1968980 is 898691.

It can be written as a sum of positive squares in 4 ways, for example, as 446224 + 1522756 = 668^2 + 1234^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3527 + ... + 4046.

It is an arithmetic number, because the mean of its divisors is an integer number (185563).

2^1968980 is an apocalyptic number.

1968980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968980 is an abundant number, since it is smaller than the sum of its proper divisors (2484532).

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

1968980 is a wasteful number, since it uses less digits than its factorization.

1968980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7595 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 1968980 is about 1403.2034777608. The cubic root of 1968980 is about 125.3373288551.

The spelling of 1968980 in words is "one million, nine hundred sixty-eight thousand, nine hundred eighty".