161600 has 42 divisors (see below), whose sum is σ = 401574. Its totient is φ = 64000.

The previous prime is 161599. The next prime is 161611. The reversal of 161600 is 6161.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 118336 = 208^2 + 344^2 .

It is a super-2 number, since 2×161600² = 52229120000, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 161600.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1550 + ... + 1650.

2¹⁶¹⁶⁰⁰ is an apocalyptic number.

161600 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 161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200787).

161600 is an abundant number, since it is smaller than the sum of its proper divisors (239974).

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

161600 is a wasteful number, since it uses less digits than its factorization.

161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 161600 is about 401.9950248448. The cubic root of 161600 is about 54.4687136314.

Adding to 161600 its reverse (6161), we get a palindrome (167761).

It can be divided in two parts, 16 and 1600, that multiplied together give a square (25600 = 160²).

The spelling of 161600 in words is "one hundred sixty-one thousand, six hundred".