161241600 has 480 divisors, whose sum is σ = 639334080. Its totient is φ = 35389440.

The previous prime is 161241599. The next prime is 161241611. The reversal of 161241600 is 6142161.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8486391 + ... + 8486409.

It is an arithmetic number, because the mean of its divisors is an integer number (1331946).

Almost surely, 2^161241600 is an apocalyptic number.

161241600 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 161241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319667040).

161241600 is an abundant number, since it is smaller than the sum of its proper divisors (478092480).

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

161241600 is a wasteful number, since it uses less digits than its factorization.

161241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 161241600 is about 12698.0943452157. The cubic root of 161241600 is about 544.2841652623.

Adding to 161241600 its reverse (6142161), we get a palindrome (167383761).

The spelling of 161241600 in words is "one hundred sixty-one million, two hundred forty-one thousand, six hundred".