161633600 has 42 divisors (see below), whose sum is σ = 397723614. Its totient is φ = 64652800.

The previous prime is 161633587. The next prime is 161633609. The reversal of 161633600 is 6336161.

It can be written as a sum of positive squares in 3 ways, for example, as 1459264 + 160174336 = 1208^2 + 12656^2 .

It is a super-2 number, since 2×161633600² = 52250841297920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161633600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161633609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48911 + ... + 52110.

Almost surely, 2^161633600 is an apocalyptic number.

161633600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161633600 is an abundant number, since it is smaller than the sum of its proper divisors (236090014).

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

161633600 is a wasteful number, since it uses less digits than its factorization.

161633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101043 (or 101028 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 161633600 is about 12713.5203621971. The cubic root of 161633600 is about 544.7248842913.

Adding to 161633600 its reverse (6336161), we get a palindrome (167969761).

The spelling of 161633600 in words is "one hundred sixty-one million, six hundred thirty-three thousand, six hundred".