166507488 has 432 divisors, whose sum is σ = 627419520. Its totient is φ = 43110144.

The previous prime is 166507487. The next prime is 166507577. The reversal of 166507488 is 884705661.

It is a happy number.

166507488 is a `hidden beast` number, since 1 + 66 + 507 + 4 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166507487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7239445 + ... + 7239467.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^166507488 is an apocalyptic number.

166507488 is a gapful number since it is divisible by the number (18) 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 166507488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

166507488 is an abundant number, since it is smaller than the sum of its proper divisors (460912032).

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

166507488 is a wasteful number, since it uses less digits than its factorization.

166507488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 166507488 is about 12903.7780514080. The cubic root of 166507488 is about 550.1459535514.

The spelling of 166507488 in words is "one hundred sixty-six million, five hundred seven thousand, four hundred eighty-eight".