161160090 has 192 divisors, whose sum is σ = 505958400. Its totient is φ = 32078592.

The previous prime is 161160067. The next prime is 161160091. The reversal of 161160090 is 90061161.

It is a self number, because there is not a number n which added to its sum of digits gives 161160090.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161160091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 674191 + ... + 674429.

It is an arithmetic number, because the mean of its divisors is an integer number (2635200).

Almost surely, 2^161160090 is an apocalyptic number.

161160090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161160090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252979200).

161160090 is an abundant number, since it is smaller than the sum of its proper divisors (344798310).

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

161160090 is a wasteful number, since it uses less digits than its factorization.

161160090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 161160090 is about 12694.8844027821. The cubic root of 161160090 is about 544.1924352537.

The spelling of 161160090 in words is "one hundred sixty-one million, one hundred sixty thousand, ninety".