165552640 has 80 divisors (see below), whose sum is σ = 433097280. Its totient is φ = 60190720.

The previous prime is 165552601. The next prime is 165552641. The reversal of 165552640 is 46255561.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×165552640² = 54815353221939200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165552596 and 165552605.

It is not an unprimeable number, because it can be changed into a prime (165552641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25221 + ... + 31099.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2^165552640 is an apocalyptic number.

165552640 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 165552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548640).

165552640 is an abundant number, since it is smaller than the sum of its proper divisors (267544640).

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

165552640 is an equidigital number, since it uses as much as digits as its factorization.

165552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 165552640 is about 12866.7260793102. The cubic root of 165552640 is about 549.0923210402.

The spelling of 165552640 in words is "one hundred sixty-five million, five hundred fifty-two thousand, six hundred forty".