1983970800 has 720 divisors, whose sum is σ = 8624090880. Its totient is φ = 431101440.

The previous prime is 1983970799. The next prime is 1983970801. The reversal of 1983970800 is 80793891.

It is an interprime number because it is at equal distance from previous prime (1983970799) and next prime (1983970801).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1983970800² = 7872280270505280000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983970801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12171519 + ... + 12171681.

It is an arithmetic number, because the mean of its divisors is an integer number (11977904).

Almost surely, 2^1983970800 is an apocalyptic number.

1983970800 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 1983970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312045440).

1983970800 is an abundant number, since it is smaller than the sum of its proper divisors (6640120080).

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

1983970800 is a wasteful number, since it uses less digits than its factorization.

1983970800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1983970800 is about 44541.7871217579. The cubic root of 1983970800 is about 1256.5460963890.

The spelling of 1983970800 in words is "one billion, nine hundred eighty-three million, nine hundred seventy thousand, eight hundred".