187985070 has 192 divisors, whose sum is σ = 628568640. Its totient is φ = 39626496.

The previous prime is 187985009. The next prime is 187985071. The reversal of 187985070 is 70589781.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187985071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171444 + ... + 172536.

It is an arithmetic number, because the mean of its divisors is an integer number (3273795).

Almost surely, 2^187985070 is an apocalyptic number.

187985070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 187985070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314284320).

187985070 is an abundant number, since it is smaller than the sum of its proper divisors (440583570).

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

187985070 is a wasteful number, since it uses less digits than its factorization.

187985070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 187985070 is about 13710.7647489117. The cubic root of 187985070 is about 572.8502665144.

The spelling of 187985070 in words is "one hundred eighty-seven million, nine hundred eighty-five thousand, seventy".