165728640 has 512 divisors, whose sum is σ = 705024000. Its totient is φ = 32071680.

The previous prime is 165728623. The next prime is 165728653. The reversal of 165728640 is 46827561.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2808931 + ... + 2808989.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^165728640 is an apocalyptic number.

165728640 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 165728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512000).

165728640 is an abundant number, since it is smaller than the sum of its proper divisors (539295360).

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

165728640 is a wasteful number, since it uses less digits than its factorization.

165728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 165728640 is about 12873.5636091954. The cubic root of 165728640 is about 549.2868332358.

The spelling of 165728640 in words is "one hundred sixty-five million, seven hundred twenty-eight thousand, six hundred forty".