161768480 has 48 divisors (see below), whose sum is σ = 383405400. Its totient is φ = 64499712.

The previous prime is 161768461. The next prime is 161768483. The reversal of 161768480 is 84867161.

161768480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 115691536 + 46076944 = 10756^2 + 6788^2 .

It is a super-2 number, since 2×161768480² = 52338082243020800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161768483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54392 + ... + 57288.

Almost surely, 2^161768480 is an apocalyptic number.

161768480 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 161768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191702700).

161768480 is an abundant number, since it is smaller than the sum of its proper divisors (221636920).

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

161768480 is a wasteful number, since it uses less digits than its factorization.

161768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 161768480 is about 12718.8238449945. The cubic root of 161768480 is about 544.8763628303.

The spelling of 161768480 in words is "one hundred sixty-one million, seven hundred sixty-eight thousand, four hundred eighty".