165964620 has 96 divisors (see below), whose sum is σ = 492307200. Its totient is φ = 41658624.

The previous prime is 165964549. The next prime is 165964627. The reversal of 165964620 is 26469561.

165964620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165964627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224211 + ... + 224949.

It is an arithmetic number, because the mean of its divisors is an integer number (5128200).

Almost surely, 2^165964620 is an apocalyptic number.

165964620 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 165964620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246153600).

165964620 is an abundant number, since it is smaller than the sum of its proper divisors (326342580).

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

165964620 is a wasteful number, since it uses less digits than its factorization.

165964620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 165964620 is about 12882.7256432791. The cubic root of 165964620 is about 549.5474183173.

The spelling of 165964620 in words is "one hundred sixty-five million, nine hundred sixty-four thousand, six hundred twenty".