161409024 has 240 divisors, whose sum is σ = 554954400. Its totient is φ = 45785088.

The previous prime is 161409023. The next prime is 161409049. The reversal of 161409024 is 420904161.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (161409023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161147 + ... + 1161285.

It is an arithmetic number, because the mean of its divisors is an integer number (2312310).

Almost surely, 2^161409024 is an apocalyptic number.

161409024 is a gapful number since it is divisible by the number (14) 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 161409024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277477200).

161409024 is an abundant number, since it is smaller than the sum of its proper divisors (393545376).

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

161409024 is an equidigital number, since it uses as much as digits as its factorization.

161409024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 161409024 is about 12704.6851200650. The cubic root of 161409024 is about 544.4724845509.

The spelling of 161409024 in words is "one hundred sixty-one million, four hundred nine thousand, twenty-four".