1985729376 has 96 divisors (see below), whose sum is σ = 5329981440. Its totient is φ = 647089664.

The previous prime is 1985729363. The next prime is 1985729377. The reversal of 1985729376 is 6739275891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985729377) 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 15 ways as a sum of consecutive naturals, for example, 1948195 + ... + 1949213.

It is an arithmetic number, because the mean of its divisors is an integer number (55520640).

Almost surely, 2^1985729376 is an apocalyptic number.

1985729376 is a gapful number since it is divisible by the number (16) 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 1985729376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664990720).

1985729376 is an abundant number, since it is smaller than the sum of its proper divisors (3344252064).

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

1985729376 is a wasteful number, since it uses less digits than its factorization.

1985729376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1460 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 57.

The square root of 1985729376 is about 44561.5234928071. The cubic root of 1985729376 is about 1256.9172509163.

The spelling of 1985729376 in words is "one billion, nine hundred eighty-five million, seven hundred twenty-nine thousand, three hundred seventy-six".