161562016 has 288 divisors, whose sum is σ = 465393600. Its totient is φ = 54190080.

The previous prime is 161562013. The next prime is 161562047. The reversal of 161562016 is 610265161.

It is a super-2 number, since 2×161562016² = 52204570027968512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161562013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5571090 + ... + 5571118.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 2^161562016 is an apocalyptic number.

161562016 is a gapful number since it is divisible by the number (16) 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 161562016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232696800).

161562016 is an abundant number, since it is smaller than the sum of its proper divisors (303831584).

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

161562016 is a wasteful number, since it uses less digits than its factorization.

161562016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 161562016 is about 12710.7047798303. The cubic root of 161562016 is about 544.6444568224.

The spelling of 161562016 in words is "one hundred sixty-one million, five hundred sixty-two thousand, sixteen".