165934080 has 264 divisors, whose sum is σ = 621420072. Its totient is φ = 40697856.

The previous prime is 165934073. The next prime is 165934099. The reversal of 165934080 is 80439561.

165934080 is a `hidden beast` number, since 165 + 93 + 408 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 165482496 = 672^2 + 12864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 598902 + ... + 599178.

Almost surely, 2^165934080 is an apocalyptic number.

165934080 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 165934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310710036).

165934080 is an abundant number, since it is smaller than the sum of its proper divisors (455485992).

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

165934080 is a wasteful number, since it uses less digits than its factorization.

165934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 165934080 is about 12881.5402805720. The cubic root of 165934080 is about 549.5137079041.

It can be divided in two parts, 16 and 5934080, that added together give a square (5934096 = 2436²).

The spelling of 165934080 in words is "one hundred sixty-five million, nine hundred thirty-four thousand, eighty".