161568000 has 576 divisors, whose sum is σ = 688746240. Its totient is φ = 36864000.

The previous prime is 161567993. The next prime is 161568013. The reversal of 161568000 is 865161.

161568000 = 65³ + 66³ + ... + 160³.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×161568000² = 52208437248000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9503992 + ... + 9504008.

It is an arithmetic number, because the mean of its divisors is an integer number (1195740).

Almost surely, 2^161568000 is an apocalyptic number.

161568000 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 161568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

161568000 is an abundant number, since it is smaller than the sum of its proper divisors (527178240).

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

161568000 is a wasteful number, since it uses less digits than its factorization.

161568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 161568000 is about 12710.9401697907. The cubic root of 161568000 is about 544.6511809941.

The spelling of 161568000 in words is "one hundred sixty-one million, five hundred sixty-eight thousand".