165679620 has 192 divisors, whose sum is σ = 528353280. Its totient is φ = 38541312.

The previous prime is 165679609. The next prime is 165679651. The reversal of 165679620 is 26976561.

165679620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1608489 + ... + 1608591.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^165679620 is an apocalyptic number.

165679620 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 165679620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

165679620 is an abundant number, since it is smaller than the sum of its proper divisors (362673660).

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

165679620 is a wasteful number, since it uses less digits than its factorization.

165679620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 165679620 is about 12871.6595666604. The cubic root of 165679620 is about 549.2326710105.

The spelling of 165679620 in words is "one hundred sixty-five million, six hundred seventy-nine thousand, six hundred twenty".