165949056 has 192 divisors, whose sum is σ = 588107520. Its totient is φ = 43739136.

The previous prime is 165949037. The next prime is 165949067. The reversal of 165949056 is 650949561.

It is a happy number.

165949056 is a `hidden beast` number, since 1 + 6 + 594 + 9 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×165949056² = 55078178374582272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104041 + ... + 105623.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2^165949056 is an apocalyptic number.

165949056 is a gapful number since it is divisible by the number (16) 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 165949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294053760).

165949056 is an abundant number, since it is smaller than the sum of its proper divisors (422158464).

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

165949056 is a wasteful number, since it uses less digits than its factorization.

165949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 165949056 is about 12882.1215644008. The cubic root of 165949056 is about 549.5302391068.

The spelling of 165949056 in words is "one hundred sixty-five million, nine hundred forty-nine thousand, fifty-six".