188680464 has 120 divisors (see below), whose sum is σ = 619910720. Its totient is φ = 52441344.

The previous prime is 188680439. The next prime is 188680511. The reversal of 188680464 is 464086881.

188680464 is a `hidden beast` number, since 188 + 6 + 8 + 0 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34767 + ... + 39825.

Almost surely, 2^188680464 is an apocalyptic number.

188680464 is a gapful number since it is divisible by the number (14) 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 188680464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309955360).

188680464 is an abundant number, since it is smaller than the sum of its proper divisors (431230256).

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

188680464 is a wasteful number, since it uses less digits than its factorization.

188680464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 188680464 is about 13736.1007567650. The cubic root of 188680464 is about 573.5557595006. Note that the first 3 decimals are identical.

The spelling of 188680464 in words is "one hundred eighty-eight million, six hundred eighty thousand, four hundred sixty-four".