161536000 has 96 divisors (see below), whose sum is σ = 403734240. Its totient is φ = 64512000.

The previous prime is 161535953. The next prime is 161536021. The reversal of 161536000 is 635161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255685 + ... + 256315.

It is an arithmetic number, because the mean of its divisors is an integer number (4205565).

Almost surely, 2^161536000 is an apocalyptic number.

161536000 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 161536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201867120).

161536000 is an abundant number, since it is smaller than the sum of its proper divisors (242198240).

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

161536000 is an frugal number, since it uses more digits than its factorization.

161536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 161536000 is about 12709.6813492707. The cubic root of 161536000 is about 544.6152209266.

The spelling of 161536000 in words is "one hundred sixty-one million, five hundred thirty-six thousand".