1985132160 has 768 divisors, whose sum is σ = 8420630400. Its totient is φ = 424673280.

The previous prime is 1985132131. The next prime is 1985132189. The reversal of 1985132160 is 612315891.

It is an interprime number because it is at equal distance from previous prime (1985132131) and next prime (1985132189).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20465232 + ... + 20465328.

Almost surely, 2^1985132160 is an apocalyptic number.

1985132160 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 1985132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210315200).

1985132160 is an abundant number, since it is smaller than the sum of its proper divisors (6435498240).

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

1985132160 is a wasteful number, since it uses less digits than its factorization.

1985132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1985132160 is about 44554.8219612648. The cubic root of 1985132160 is about 1256.7912306626.

The spelling of 1985132160 in words is "one billion, nine hundred eighty-five million, one hundred thirty-two thousand, one hundred sixty".