165903984 has 80 divisors (see below), whose sum is σ = 486397440. Its totient is φ = 54118080.

The previous prime is 165903977. The next prime is 165904007. The reversal of 165903984 is 489309561.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16219 + ... + 24389.

It is an arithmetic number, because the mean of its divisors is an integer number (6079968).

Almost surely, 2^165903984 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 165903984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243198720).

165903984 is an abundant number, since it is smaller than the sum of its proper divisors (320493456).

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

165903984 is a wasteful number, since it uses less digits than its factorization.

165903984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8235 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 165903984 is about 12880.3720443161. The cubic root of 165903984 is about 549.4804835367.

The spelling of 165903984 in words is "one hundred sixty-five million, nine hundred three thousand, nine hundred eighty-four".