187075980 has 384 divisors, whose sum is σ = 740597760. Its totient is φ = 38631168.

The previous prime is 187075969. The next prime is 187076017. The reversal of 187075980 is 89570781.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3980317 + ... + 3980363.

It is an arithmetic number, because the mean of its divisors is an integer number (1928640).

Almost surely, 2^187075980 is an apocalyptic number.

187075980 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 187075980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370298880).

187075980 is an abundant number, since it is smaller than the sum of its proper divisors (553521780).

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

187075980 is a wasteful number, since it uses less digits than its factorization.

187075980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

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

The square root of 187075980 is about 13677.5721529810. The cubic root of 187075980 is about 571.9253452049.

The spelling of 187075980 in words is "one hundred eighty-seven million, seventy-five thousand, nine hundred eighty".