187063968 has 384 divisors, whose sum is σ = 677376000. Its totient is φ = 44706816.

The previous prime is 187063967. The next prime is 187063969. The reversal of 187063968 is 869360781.

It is an interprime number because it is at equal distance from previous prime (187063967) and next prime (187063969).

It is a super-3 number, since 3×187063968³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187063963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8133205 + ... + 8133227.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 2^187063968 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 187063968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

187063968 is an abundant number, since it is smaller than the sum of its proper divisors (490312032).

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

187063968 is a wasteful number, since it uses less digits than its factorization.

187063968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 187063968 is about 13677.1330329130. The cubic root of 187063968 is about 571.9131039856.

The spelling of 187063968 in words is "one hundred eighty-seven million, sixty-three thousand, nine hundred sixty-eight".