172984896 has 252 divisors, whose sum is σ = 600779088. Its totient is φ = 49206528.

The previous prime is 172984871. The next prime is 172984907. The reversal of 172984896 is 698489271.

172984896 is a `hidden beast` number, since 1 + 72 + 98 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761935 + ... + 762161.

It is an arithmetic number, because the mean of its divisors is an integer number (2384044).

Almost surely, 2^172984896 is an apocalyptic number.

172984896 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 172984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300389544).

172984896 is an abundant number, since it is smaller than the sum of its proper divisors (427794192).

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

172984896 is an equidigital number, since it uses as much as digits as its factorization.

172984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 239 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 172984896 is about 13152.3722575055. The cubic root of 172984896 is about 557.1892492223.

The spelling of 172984896 in words is "one hundred seventy-two million, nine hundred eighty-four thousand, eight hundred ninety-six".