161904600 has 576 divisors, whose sum is σ = 694643040. Its totient is φ = 33177600.

The previous prime is 161904581. The next prime is 161904623. The reversal of 161904600 is 6409161.

161904600 is a `hidden beast` number, since 1 + 619 + 0 + 46 + 0 + 0 = 666.

161904600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4375782 + ... + 4375818.

Almost surely, 2^161904600 is an apocalyptic number.

161904600 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 161904600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347321520).

161904600 is an abundant number, since it is smaller than the sum of its proper divisors (532738440).

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

161904600 is a wasteful number, since it uses less digits than its factorization.

161904600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 161904600 is about 12724.1738435153. The cubic root of 161904600 is about 545.0291486248.

The spelling of 161904600 in words is "one hundred sixty-one million, nine hundred four thousand, six hundred".