161287200 has 360 divisors, whose sum is σ = 623866320. Its totient is φ = 40435200.

The previous prime is 161287187. The next prime is 161287207. The reversal of 161287200 is 2782161.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (161287207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1231135 + ... + 1231265.

It is an arithmetic number, because the mean of its divisors is an integer number (1732962).

Almost surely, 2^161287200 is an apocalyptic number.

161287200 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 161287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311933160).

161287200 is an abundant number, since it is smaller than the sum of its proper divisors (462579120).

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

161287200 is a wasteful number, since it uses less digits than its factorization.

161287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 161287200 is about 12699.8897633011. The cubic root of 161287200 is about 544.3354692654.

The spelling of 161287200 in words is "one hundred sixty-one million, two hundred eighty-seven thousand, two hundred".