1985206080 has 224 divisors, whose sum is σ = 7405469568. Its totient is φ = 444211200.

The previous prime is 1985206039. The next prime is 1985206081. The reversal of 1985206080 is 806025891.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985206081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130050 + ... + 144510.

It is an arithmetic number, because the mean of its divisors is an integer number (33060132).

Almost surely, 2^1985206080 is an apocalyptic number.

1985206080 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 1985206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702734784).

1985206080 is an abundant number, since it is smaller than the sum of its proper divisors (5420263488).

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

1985206080 is a wasteful number, since it uses less digits than its factorization.

1985206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14505 (or 14495 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1985206080 is about 44555.6514933852. The cubic root of 1985206080 is about 1256.8068301033.

The spelling of 1985206080 in words is "one billion, nine hundred eighty-five million, two hundred six thousand, eighty".