187830864 has 120 divisors (see below), whose sum is σ = 569729160. Its totient is φ = 57424896.

The previous prime is 187830859. The next prime is 187830869. The reversal of 187830864 is 468038781.

It is an interprime number because it is at equal distance from previous prime (187830859) and next prime (187830869).

It can be written as a sum of positive squares in 4 ways, for example, as 360000 + 187470864 = 600^2 + 13692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187830869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503382 + ... + 503754.

It is an arithmetic number, because the mean of its divisors is an integer number (4747743).

Almost surely, 2^187830864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187830864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284864580).

187830864 is an abundant number, since it is smaller than the sum of its proper divisors (381898296).

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

187830864 is a wasteful number, since it uses less digits than its factorization.

187830864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 187830864 is about 13705.1400576572. The cubic root of 187830864 is about 572.6935854301.

The spelling of 187830864 in words is "one hundred eighty-seven million, eight hundred thirty thousand, eight hundred sixty-four".