1987160 has 64 divisors (see below), whose sum is σ = 5253120. Its totient is φ = 662400.

The previous prime is 1987157. The next prime is 1987189. The reversal of 1987160 is 617891.

1987160 = T₂₉₅ + T₂₉₆ + ... + T₃₃₄.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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, 13085 + ... + 13235.

It is an arithmetic number, because the mean of its divisors is an integer number (82080).

2^1987160 is an apocalyptic number.

1987160 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 1987160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626560).

1987160 is an abundant number, since it is smaller than the sum of its proper divisors (3265960).

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

1987160 is a wasteful number, since it uses less digits than its factorization.

1987160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 1987160 is about 1409.6666272562. Note that the first 4 decimals coincide. The cubic root of 1987160 is about 125.7219028246.

The spelling of 1987160 in words is "one million, nine hundred eighty-seven thousand, one hundred sixty".