165834816 has 84 divisors (see below), whose sum is σ = 510436368. Its totient is φ = 47378688.

The previous prime is 165834769. The next prime is 165834833. The reversal of 165834816 is 618438561.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595 + ... + 18221.

Almost surely, 2^165834816 is an apocalyptic number.

165834816 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 165834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255218184).

165834816 is an abundant number, since it is smaller than the sum of its proper divisors (344601552).

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

165834816 is a wasteful number, since it uses less digits than its factorization.

165834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17656 (or 17639 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 165834816 is about 12877.6867487915. The cubic root of 165834816 is about 549.4041105483.

The spelling of 165834816 in words is "one hundred sixty-five million, eight hundred thirty-four thousand, eight hundred sixteen".