161980416 has 168 divisors, whose sum is σ = 506890020. Its totient is φ = 49840128.

The previous prime is 161980387. The next prime is 161980439. The reversal of 161980416 is 614089161.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

161980416 is a `hidden beast` number, since 161 + 9 + 80 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50466816 + 111513600 = 7104^2 + 10560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12460026 + ... + 12460038.

Almost surely, 2^161980416 is an apocalyptic number.

161980416 is a gapful number since it is divisible by the number (16) 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 161980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253445010).

161980416 is an abundant number, since it is smaller than the sum of its proper divisors (344909604).

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

161980416 is an frugal number, since it uses more digits than its factorization.

161980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 161980416 is about 12727.1527059276. The cubic root of 161980416 is about 545.1142099955.

The spelling of 161980416 in words is "one hundred sixty-one million, nine hundred eighty thousand, four hundred sixteen".