165088352 has 96 divisors (see below), whose sum is σ = 391184640. Its totient is φ = 67576320.

The previous prime is 165088349. The next prime is 165088369. The reversal of 165088352 is 253880561.

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, 196349 + ... + 197187.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 2^165088352 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 165088352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592320).

165088352 is an abundant number, since it is smaller than the sum of its proper divisors (226096288).

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

165088352 is a wasteful number, since it uses less digits than its factorization.

165088352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 165088352 is about 12848.6712153436. The cubic root of 165088352 is about 548.5785354775.

The spelling of 165088352 in words is "one hundred sixty-five million, eighty-eight thousand, three hundred fifty-two".