161164080 has 800 divisors, whose sum is σ = 777807360. Its totient is φ = 29859840.

The previous prime is 161164079. The next prime is 161164123. The reversal of 161164080 is 80461161.

161164080 is a `hidden beast` number, since 1 + 6 + 11 + 640 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8482311 + ... + 8482329.

Almost surely, 2^161164080 is an apocalyptic number.

161164080 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 161164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388903680).

161164080 is an abundant number, since it is smaller than the sum of its proper divisors (616643280).

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

161164080 is a wasteful number, since it uses less digits than its factorization.

161164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 161164080 is about 12695.0415517240. The cubic root of 161164080 is about 544.1969262537.

The spelling of 161164080 in words is "one hundred sixty-one million, one hundred sixty-four thousand, eighty".