872346240 has 256 divisors, whose sum is σ = 3253392000. Its totient is φ = 220299264.

The previous prime is 872346229. The next prime is 872346269. The reversal of 872346240 is 42643278.

872346240 is a `hidden beast` number, since 8 + 7 + 23 + 4 + 624 + 0 = 666.

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 = 872346195 and 872346204.

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 31 ways as a sum of consecutive naturals, for example, 326992 + ... + 329648.

Almost surely, 2^872346240 is an apocalyptic number.

872346240 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 872346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626696000).

872346240 is an abundant number, since it is smaller than the sum of its proper divisors (2381045760).

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

872346240 is a wasteful number, since it uses less digits than its factorization.

872346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 872346240 is about 29535.5081215814. The cubic root of 872346240 is about 955.4976673863.

The spelling of 872346240 in words is "eight hundred seventy-two million, three hundred forty-six thousand, two hundred forty".