873369216 has 192 divisors, whose sum is σ = 2670988320. Its totient is φ = 283917312.

The previous prime is 873369209. The next prime is 873369223. The reversal of 873369216 is 612963378.

873369216 is a `hidden beast` number, since 8 + 73 + 369 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (873369209) and next prime (873369223).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1337146 + ... + 1337798.

Almost surely, 2^873369216 is an apocalyptic number.

873369216 is a gapful number since it is divisible by the number (86) 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 873369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335494160).

873369216 is an abundant number, since it is smaller than the sum of its proper divisors (1797619104).

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

873369216 is an equidigital number, since it uses as much as digits as its factorization.

873369216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 701 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 873369216 is about 29552.8207790728. The cubic root of 873369216 is about 955.8710166022.

The spelling of 873369216 in words is "eight hundred seventy-three million, three hundred sixty-nine thousand, two hundred sixteen".