165730464 has 144 divisors (see below), whose sum is σ = 512628480. Its totient is φ = 50595840.

The previous prime is 165730457. The next prime is 165730489. The reversal of 165730464 is 464037561.

It is a happy number.

165730464 is a `hidden beast` number, since 165 + 7 + 30 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169144 + ... + 170120.

It is an arithmetic number, because the mean of its divisors is an integer number (3559920).

Almost surely, 2^165730464 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 165730464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256314240).

165730464 is an abundant number, since it is smaller than the sum of its proper divisors (346898016).

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

165730464 is a wasteful number, since it uses less digits than its factorization.

165730464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 165730464 is about 12873.6344518555. The cubic root of 165730464 is about 549.2888483683.

The spelling of 165730464 in words is "one hundred sixty-five million, seven hundred thirty thousand, four hundred sixty-four".