188720064 has 224 divisors, whose sum is σ = 619028480. Its totient is φ = 55987200.

The previous prime is 188720047. The next prime is 188720071. The reversal of 188720064 is 460027881.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696249 + ... + 696519.

It is an arithmetic number, because the mean of its divisors is an integer number (2763520).

Almost surely, 2^188720064 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 188720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309514240).

188720064 is an abundant number, since it is smaller than the sum of its proper divisors (430308416).

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

188720064 is a wasteful number, since it uses less digits than its factorization.

188720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 188720064 is about 13737.5421382429. The cubic root of 188720064 is about 573.5958823955.

The spelling of 188720064 in words is "one hundred eighty-eight million, seven hundred twenty thousand, sixty-four".