1985162760 has 384 divisors, whose sum is σ = 7884864000. Its totient is φ = 422830080.

The previous prime is 1985162747. The next prime is 1985162783. The reversal of 1985162760 is 672615891.

1985162760 is a `hidden beast` number, since 19 + 8 + 5 + 1 + 627 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6383005 + ... + 6383315.

It is an arithmetic number, because the mean of its divisors is an integer number (20533500).

Almost surely, 2^1985162760 is an apocalyptic number.

1985162760 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 1985162760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942432000).

1985162760 is an abundant number, since it is smaller than the sum of its proper divisors (5899701240).

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

1985162760 is a wasteful number, since it uses less digits than its factorization.

1985162760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1985162760 is about 44555.1653571166. The cubic root of 1985162760 is about 1256.7976882702.

The spelling of 1985162760 in words is "one billion, nine hundred eighty-five million, one hundred sixty-two thousand, seven hundred sixty".