187720960 has 216 divisors, whose sum is σ = 543160296. Its totient is φ = 61931520.

The previous prime is 187720957. The next prime is 187720979. The reversal of 187720960 is 69027781.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 186704896 = 1008^2 + 13664^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2571484 + ... + 2571556.

It is an arithmetic number, because the mean of its divisors is an integer number (2514631).

Almost surely, 2^187720960 is an apocalyptic number.

187720960 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 187720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271580148).

187720960 is an abundant number, since it is smaller than the sum of its proper divisors (355439336).

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

187720960 is an equidigital number, since it uses as much as digits as its factorization.

187720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 187720960 is about 13701.1298804150. The cubic root of 187720960 is about 572.5818650689.

The spelling of 187720960 in words is "one hundred eighty-seven million, seven hundred twenty thousand, nine hundred sixty".