1968900 has 36 divisors (see below), whose sum is σ = 5697552. Its totient is φ = 524960.

The previous prime is 1968899. The next prime is 1968919. The reversal of 1968900 is 98691.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2982 + ... + 3581.

2^1968900 is an apocalyptic number.

1968900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968900 is an abundant number, since it is smaller than the sum of its proper divisors (3728652).

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

1968900 is a wasteful number, since it uses less digits than its factorization.

1968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1968900 is about 1403.1749712705. The cubic root of 1968900 is about 125.3356313396.

The spelling of 1968900 in words is "one million, nine hundred sixty-eight thousand, nine hundred".