161616000 has 512 divisors, whose sum is σ = 677214720. Its totient is φ = 33177600.

The previous prime is 161615981. The next prime is 161616001. The reversal of 161616000 is 616161.

161616000 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-2 number, since 2×161616000² = 52239462912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161616001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4367982 + ... + 4368018.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^161616000 is an apocalyptic number.

161616000 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 161616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338607360).

161616000 is an abundant number, since it is smaller than the sum of its proper divisors (515598720).

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

161616000 is a wasteful number, since it uses less digits than its factorization.

161616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 161616000 is about 12712.8281668557. The cubic root of 161616000 is about 544.7051121937.

The spelling of 161616000 in words is "one hundred sixty-one million, six hundred sixteen thousand".