188313840 has 480 divisors, whose sum is σ = 779950080. Its totient is φ = 40089600.

The previous prime is 188313833. The next prime is 188313869. The reversal of 188313840 is 48313881.

188313840 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 188313795 and 188313804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3191731 + ... + 3191789.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^188313840 is an apocalyptic number.

188313840 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 188313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

188313840 is an abundant number, since it is smaller than the sum of its proper divisors (591636240).

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

188313840 is a wasteful number, since it uses less digits than its factorization.

188313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 188313840 is about 13722.7489957370. The cubic root of 188313840 is about 573.1840275840.

It can be divided in two parts, 188 and 313840, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 188313840 in words is "one hundred eighty-eight million, three hundred thirteen thousand, eight hundred forty".