1940889600 has 588 divisors, whose sum is σ = 7771472646. Its totient is φ = 477757440.

The previous prime is 1940889563. The next prime is 1940889623. The reversal of 1940889600 is 69880491.

It can be written as a sum of positive squares in 3 ways, for example, as 1077940224 + 862949376 = 32832^2 + 29376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 149299194 + ... + 149299206.

Almost surely, 2^1940889600 is an apocalyptic number.

1940889600 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 1940889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885736323).

1940889600 is an abundant number, since it is smaller than the sum of its proper divisors (5830583046).

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

1940889600 is an frugal number, since it uses more digits than its factorization.

1940889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1940889600 is about 44055.5285974417. The cubic root of 1940889600 is about 1247.3843116909.

The spelling of 1940889600 in words is "one billion, nine hundred forty million, eight hundred eighty-nine thousand, six hundred".