1985860800 has 840 divisors, whose sum is σ = 9146438400. Its totient is φ = 410572800.

The previous prime is 1985860783. The next prime is 1985860801. The reversal of 1985860800 is 80685891.

It is a tau number, because it is divible by the number of its divisors (840).

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 (1985860801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9979101 + ... + 9979299.

Almost surely, 2^1985860800 is an apocalyptic number.

1985860800 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 1985860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573219200).

1985860800 is an abundant number, since it is smaller than the sum of its proper divisors (7160577600).

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

1985860800 is a wasteful number, since it uses less digits than its factorization.

1985860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1985860800 is about 44562.9981038081. The cubic root of 1985860800 is about 1256.9449796777.

The spelling of 1985860800 in words is "one billion, nine hundred eighty-five million, eight hundred sixty thousand, eight hundred".