161364800 has 42 divisors (see below), whose sum is σ = 397062198. Its totient is φ = 64545280.

The previous prime is 161364793. The next prime is 161364809. The reversal of 161364800 is 8463161.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 160985344 = 616^2 + 12688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161364809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48827 + ... + 52026.

Almost surely, 2^161364800 is an apocalyptic number.

161364800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161364800 is an abundant number, since it is smaller than the sum of its proper divisors (235697398).

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

161364800 is a wasteful number, since it uses less digits than its factorization.

161364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100875 (or 100860 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 161364800 is about 12702.9445405386. The cubic root of 161364800 is about 544.4227538523.

The spelling of 161364800 in words is "one hundred sixty-one million, three hundred sixty-four thousand, eight hundred".