1985573760 has 128 divisors (see below), whose sum is σ = 6356966400. Its totient is φ = 527149056.

The previous prime is 1985573749. The next prime is 1985573783. The reversal of 1985573760 is 673755891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456717 + ... + 461043.

It is an arithmetic number, because the mean of its divisors is an integer number (49663800).

Almost surely, 2^1985573760 is an apocalyptic number.

1985573760 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 1985573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178483200).

1985573760 is an abundant number, since it is smaller than the sum of its proper divisors (4371392640).

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

1985573760 is a wasteful number, since it uses less digits than its factorization.

1985573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The square root of 1985573760 is about 44559.7773782590. Note that the first 3 decimals coincide. The cubic root of 1985573760 is about 1256.8844163741.

The spelling of 1985573760 in words is "one billion, nine hundred eighty-five million, five hundred seventy-three thousand, seven hundred sixty".