188946240 has 224 divisors, whose sum is σ = 708501504. Its totient is φ = 41748480.

The previous prime is 188946229. The next prime is 188946259. The reversal of 188946240 is 42649881.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×188946240² = 71401363220275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 188946192 and 188946201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207867 + ... + 208773.

Almost surely, 2^188946240 is an apocalyptic number.

188946240 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 188946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354250752).

188946240 is an abundant number, since it is smaller than the sum of its proper divisors (519555264).

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

188946240 is a wasteful number, since it uses less digits than its factorization.

188946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 188946240 is about 13745.7717135125. The cubic root of 188946240 is about 573.8249374071.

The spelling of 188946240 in words is "one hundred eighty-eight million, nine hundred forty-six thousand, two hundred forty".