165350020 has 48 divisors (see below), whose sum is σ = 382531968. Its totient is φ = 59535360.

The previous prime is 165349991. The next prime is 165350023. The reversal of 165350020 is 20053561.

It is a happy number.

It is a super-2 number, since 2×165350020² = 54681258228000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 165349973 and 165350000.

It is not an unprimeable number, because it can be changed into a prime (165350023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19012 + ... + 26308.

It is an arithmetic number, because the mean of its divisors is an integer number (7969416).

Almost surely, 2^165350020 is an apocalyptic number.

165350020 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 165350020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191265984).

165350020 is an abundant number, since it is smaller than the sum of its proper divisors (217181948).

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

165350020 is a wasteful number, since it uses less digits than its factorization.

165350020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 165350020 is about 12858.8498708088. The cubic root of 165350020 is about 548.8682180879.

The spelling of 165350020 in words is "one hundred sixty-five million, three hundred fifty thousand, twenty".