161268800 has 378 divisors, whose sum is σ = 537235146. Its totient is φ = 47308800.

The previous prime is 161268787. The next prime is 161268803. The reversal of 161268800 is 8862161.

161268800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 24285184 + 136983616 = 4928^2 + 11704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (161268803) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9486392 + ... + 9486408.

It is an arithmetic number, because the mean of its divisors is an integer number (1421257).

Almost surely, 2^161268800 is an apocalyptic number.

161268800 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 161268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268617573).

161268800 is an abundant number, since it is smaller than the sum of its proper divisors (375966346).

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

161268800 is a wasteful number, since it uses less digits than its factorization.

161268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 161268800 is about 12699.1653269024. The cubic root of 161268800 is about 544.3147688140.

The spelling of 161268800 in words is "one hundred sixty-one million, two hundred sixty-eight thousand, eight hundred".