161356800 has 264 divisors, whose sum is σ = 584819712. Its totient is φ = 38912000.

The previous prime is 161356763. The next prime is 161356807. The reversal of 161356800 is 8653161.

161356800 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161356807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844705 + ... + 844895.

Almost surely, 2^161356800 is an apocalyptic number.

161356800 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 161356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292409856).

161356800 is an abundant number, since it is smaller than the sum of its proper divisors (423462912).

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

161356800 is a wasteful number, since it uses less digits than its factorization.

161356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 161356800 is about 12702.6296490136. The cubic root of 161356800 is about 544.4137567352.

The spelling of 161356800 in words is "one hundred sixty-one million, three hundred fifty-six thousand, eight hundred".