188764240 has 160 divisors (see below), whose sum is σ = 536037120. Its totient is φ = 60383232.

The previous prime is 188764223. The next prime is 188764273. The reversal of 188764240 is 42467881.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 188764193 and 188764202.

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, 1202242 + ... + 1202398.

It is an arithmetic number, because the mean of its divisors is an integer number (3350232).

Almost surely, 2^188764240 is an apocalyptic number.

188764240 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 188764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268018560).

188764240 is an abundant number, since it is smaller than the sum of its proper divisors (347272880).

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

188764240 is a wasteful number, since it uses less digits than its factorization.

188764240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 188764240 is about 13739.1499009218. The cubic root of 188764240 is about 573.6406350912.

The spelling of 188764240 in words is "one hundred eighty-eight million, seven hundred sixty-four thousand, two hundred forty".