161260800 has 216 divisors, whose sum is σ = 548985696. Its totient is φ = 41656320.

The previous prime is 161260787. The next prime is 161260811. The reversal of 161260800 is 8062161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710287 + ... + 710513.

Almost surely, 2^161260800 is an apocalyptic number.

161260800 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 161260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274492848).

161260800 is an abundant number, since it is smaller than the sum of its proper divisors (387724896).

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

161260800 is a wasteful number, since it uses less digits than its factorization.

161260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 161260800 is about 12698.8503416648. The cubic root of 161260800 is about 544.3057681266.

The spelling of 161260800 in words is "one hundred sixty-one million, two hundred sixty thousand, eight hundred".