873452160 has 640 divisors, whose sum is σ = 3732220800. Its totient is φ = 190439424.

The previous prime is 873452143. The next prime is 873452161. The reversal of 873452160 is 61254378.

873452160 is a `hidden beast` number, since 8 + 73 + 4 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (873452161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10523479 + ... + 10523561.

It is an arithmetic number, because the mean of its divisors is an integer number (5831595).

Almost surely, 2^873452160 is an apocalyptic number.

873452160 is a gapful number since it is divisible by the number (80) 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 873452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866110400).

873452160 is an abundant number, since it is smaller than the sum of its proper divisors (2858768640).

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

873452160 is a wasteful number, since it uses less digits than its factorization.

873452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 873452160 is about 29554.2240635751. The cubic root of 873452160 is about 955.9012753803.

The spelling of 873452160 in words is "eight hundred seventy-three million, four hundred fifty-two thousand, one hundred sixty".