1985679360 has 728 divisors, whose sum is σ = 8594652480. Its totient is φ = 429981696.

The previous prime is 1985679349. The next prime is 1985679361. The reversal of 1985679360 is 639765891.

1985679360 is a `hidden beast` number, since 19 + 8 + 567 + 9 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1985679297 and 1985679306.

It is not an unprimeable number, because it can be changed into a prime (1985679361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 104509431 + ... + 104509449.

Almost surely, 2^1985679360 is an apocalyptic number.

1985679360 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 1985679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297326240).

1985679360 is an abundant number, since it is smaller than the sum of its proper divisors (6608973120).

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

1985679360 is an frugal number, since it uses more digits than its factorization.

1985679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1985679360 is about 44560.9622876347. The cubic root of 1985679360 is about 1256.9066978668.

The spelling of 1985679360 in words is "one billion, nine hundred eighty-five million, six hundred seventy-nine thousand, three hundred sixty".