872087040 has 640 divisors, whose sum is σ = 3582627840. Its totient is φ = 199065600.

The previous prime is 872087033. The next prime is 872087087. The reversal of 872087040 is 40780278.

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 a junction number, because it is equal to n+sod(n) for n = 872086986 and 872087004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23569902 + ... + 23569938.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2^872087040 is an apocalyptic number.

872087040 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 872087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791313920).

872087040 is an abundant number, since it is smaller than the sum of its proper divisors (2710540800).

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

872087040 is a wasteful number, since it uses less digits than its factorization.

872087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 872087040 is about 29531.1198568561. The cubic root of 872087040 is about 955.4030224248.

The spelling of 872087040 in words is "eight hundred seventy-two million, eighty-seven thousand, forty".