161865600 has 192 divisors, whose sum is σ = 574598640. Its totient is φ = 39813120.

The previous prime is 161865593. The next prime is 161865611. The reversal of 161865600 is 6568161.

161865600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124152 + ... + 125448.

Almost surely, 2^161865600 is an apocalyptic number.

161865600 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 161865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287299320).

161865600 is an abundant number, since it is smaller than the sum of its proper divisors (412733040).

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

161865600 is a wasteful number, since it uses less digits than its factorization.

161865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 161865600 is about 12722.6412352153. The cubic root of 161865600 is about 544.9853824321.

The spelling of 161865600 in words is "one hundred sixty-one million, eight hundred sixty-five thousand, six hundred".