165988476 has 72 divisors (see below), whose sum is σ = 451891440. Its totient is φ = 51181056.

The previous prime is 165988469. The next prime is 165988507. The reversal of 165988476 is 674889561.

165988476 is a `hidden beast` number, since 1 + 6 + 598 + 8 + 47 + 6 = 666.

165988476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 33810 + ... + 38406.

It is an arithmetic number, because the mean of its divisors is an integer number (6276270).

Almost surely, 2^165988476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165988476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225945720).

165988476 is an abundant number, since it is smaller than the sum of its proper divisors (285902964).

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

165988476 is a wasteful number, since it uses less digits than its factorization.

165988476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4678 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 165988476 is about 12883.6515010303. The cubic root of 165988476 is about 549.5737479754.

It can be divided in two parts, 165988 and 476, that added together give a square (166464 = 408²).

The spelling of 165988476 in words is "one hundred sixty-five million, nine hundred eighty-eight thousand, four hundred seventy-six".