165213620 has 96 divisors (see below), whose sum is σ = 414723456. Its totient is φ = 54489600.

The previous prime is 165213563. The next prime is 165213647. The reversal of 165213620 is 26312561.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 165213620.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173987 + ... + 174933.

It is an arithmetic number, because the mean of its divisors is an integer number (4320036).

Almost surely, 2^165213620 is an apocalyptic number.

165213620 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 165213620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207361728).

165213620 is an abundant number, since it is smaller than the sum of its proper divisors (249509836).

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

165213620 is a wasteful number, since it uses less digits than its factorization.

165213620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 165213620 is about 12853.5450362925. The cubic root of 165213620 is about 548.7172530414.

The spelling of 165213620 in words is "one hundred sixty-five million, two hundred thirteen thousand, six hundred twenty".