161838000 has 320 divisors, whose sum is σ = 602759040. Its totient is φ = 41990400.

The previous prime is 161837999. The next prime is 161838043. The reversal of 161838000 is 838161.

161838000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4373982 + ... + 4374018.

It is an arithmetic number, because the mean of its divisors is an integer number (1883622).

Almost surely, 2^161838000 is an apocalyptic number.

161838000 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 161838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301379520).

161838000 is an abundant number, since it is smaller than the sum of its proper divisors (440921040).

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

161838000 is an frugal number, since it uses more digits than its factorization.

161838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 161838000 is about 12721.5565085409. The cubic root of 161838000 is about 544.9544051860.

The spelling of 161838000 in words is "one hundred sixty-one million, eight hundred thirty-eight thousand".