187945920 has 168 divisors, whose sum is σ = 670675824. Its totient is φ = 50098176.

The previous prime is 187945871. The next prime is 187945943. The reversal of 187945920 is 29549781.

187945920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 76552 + ... + 78968.

It is an arithmetic number, because the mean of its divisors is an integer number (3992118).

Almost surely, 2^187945920 is an apocalyptic number.

187945920 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 187945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335337912).

187945920 is an abundant number, since it is smaller than the sum of its proper divisors (482729904).

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

187945920 is an equidigital number, since it uses as much as digits as its factorization.

187945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 187945920 is about 13709.3369642737. The cubic root of 187945920 is about 572.8104962549.

The spelling of 187945920 in words is "one hundred eighty-seven million, nine hundred forty-five thousand, nine hundred twenty".