1916985600 has 324 divisors, whose sum is σ = 7156583616. Its totient is φ = 488632320.

The previous prime is 1916985599. The next prime is 1916985607. The reversal of 1916985600 is 65896191.

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

It is not an unprimeable number, because it can be changed into a prime (1916985607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324077 + ... + 1325523.

Almost surely, 2^1916985600 is an apocalyptic number.

1916985600 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 1916985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578291808).

1916985600 is an abundant number, since it is smaller than the sum of its proper divisors (5239598016).

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

1916985600 is a wasteful number, since it uses less digits than its factorization.

1916985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1916985600 is about 43783.3941123801. The cubic root of 1916985600 is about 1242.2422143456.

The spelling of 1916985600 in words is "one billion, nine hundred sixteen million, nine hundred eighty-five thousand, six hundred".