188960640 has 256 divisors, whose sum is σ = 687398400. Its totient is φ = 43704320.

The previous prime is 188960599. The next prime is 188960641. The reversal of 188960640 is 46069881.

It is a super-2 number, since 2×188960640² = 71412246938419200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 188960592 and 188960601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188960641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485566 + ... + 485954.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^188960640 is an apocalyptic number.

188960640 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 188960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

188960640 is an abundant number, since it is smaller than the sum of its proper divisors (498437760).

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

188960640 is a wasteful number, since it uses less digits than its factorization.

188960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 188960640 is about 13746.2955009704. The cubic root of 188960640 is about 573.8395145150.

The spelling of 188960640 in words is "one hundred eighty-eight million, nine hundred sixty thousand, six hundred forty".