161414820 has 108 divisors (see below), whose sum is σ = 569594844. Its totient is φ = 36892800.

The previous prime is 161414809. The next prime is 161414821. The reversal of 161414820 is 28414161.

It is a happy number.

161414820 is a `hidden beast` number, since 1 + 614 + 1 + 48 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 139287204 = 4704^2 + 11802^2 .

It is not an unprimeable number, because it can be changed into a prime (161414821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331 + ... + 17970.

Almost surely, 2^161414820 is an apocalyptic number.

161414820 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 161414820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284797422).

161414820 is an abundant number, since it is smaller than the sum of its proper divisors (408180024).

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

161414820 is a wasteful number, since it uses less digits than its factorization.

161414820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18330 (or 18318 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 161414820 is about 12704.9132228441. The cubic root of 161414820 is about 544.4790015858.

Adding to 161414820 its reverse (28414161), we get a palindrome (189828981).

The spelling of 161414820 in words is "one hundred sixty-one million, four hundred fourteen thousand, eight hundred twenty".