161484960 has 192 divisors, whose sum is σ = 626234112. Its totient is φ = 34062336.

The previous prime is 161484959. The next prime is 161484977. The reversal of 161484960 is 69484161.

161484960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×161484960³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41832 + ... + 45528.

It is an arithmetic number, because the mean of its divisors is an integer number (3261636).

Almost surely, 2^161484960 is an apocalyptic number.

161484960 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 161484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313117056).

161484960 is an abundant number, since it is smaller than the sum of its proper divisors (464749152).

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

161484960 is a wasteful number, since it uses less digits than its factorization.

161484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 161484960 is about 12707.6732724760. The cubic root of 161484960 is about 544.5578547893.

The spelling of 161484960 in words is "one hundred sixty-one million, four hundred eighty-four thousand, nine hundred sixty".