173200896 has 320 divisors, whose sum is σ = 601032960. Its totient is φ = 48660480.

The previous prime is 173200889. The next prime is 173200897. The reversal of 173200896 is 698002371.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 173200896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173200897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585055 + ... + 2585121.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 2^173200896 is an apocalyptic number.

173200896 is a gapful number since it is divisible by the number (16) 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 173200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

173200896 is an abundant number, since it is smaller than the sum of its proper divisors (427832064).

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

173200896 is a wasteful number, since it uses less digits than its factorization.

173200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 173200896 is about 13160.5811421837. The cubic root of 173200896 is about 557.4210668008.

The spelling of 173200896 in words is "one hundred seventy-three million, two hundred thousand, eight hundred ninety-six".