161689600 has 78 divisors (see below), whose sum is σ = 401195180. Its totient is φ = 64634880.

The previous prime is 161689597. The next prime is 161689607. The reversal of 161689600 is 6986161.

It is a super-2 number, since 2×161689600² = 52287053496320000, 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 161689600.

It is not an unprimeable number, because it can be changed into a prime (161689607) 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, 101611 + ... + 103189.

Almost surely, 2^161689600 is an apocalyptic number.

161689600 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 161689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200597590).

161689600 is an abundant number, since it is smaller than the sum of its proper divisors (239505580).

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

161689600 is an equidigital number, since it uses as much as digits as its factorization.

161689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 161689600 is about 12715.7225512355. The cubic root of 161689600 is about 544.7877859638.

The spelling of 161689600 in words is "one hundred sixty-one million, six hundred eighty-nine thousand, six hundred".