165667950 has 192 divisors, whose sum is σ = 534251520. Its totient is φ = 36961920.

The previous prime is 165667927. The next prime is 165667951. The reversal of 165667950 is 59766561.

165667950 is a `hidden beast` number, since 16 + 566 + 79 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 165667896 and 165667905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165667951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 443964 + ... + 444336.

It is an arithmetic number, because the mean of its divisors is an integer number (2782560).

Almost surely, 2^165667950 is an apocalyptic number.

165667950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165667950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267125760).

165667950 is an abundant number, since it is smaller than the sum of its proper divisors (368583570).

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

165667950 is a wasteful number, since it uses less digits than its factorization.

165667950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 165667950 is about 12871.2062371792. The cubic root of 165667950 is about 549.2197752467.

The spelling of 165667950 in words is "one hundred sixty-five million, six hundred sixty-seven thousand, nine hundred fifty".