872674560 has 360 divisors, whose sum is σ = 3294355680. Its totient is φ = 219967488.

The previous prime is 872674547. The next prime is 872674613. The reversal of 872674560 is 65476278.

872674560 is a `hidden beast` number, since 87 + 2 + 6 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1969699 + ... + 1970141.

It is an arithmetic number, because the mean of its divisors is an integer number (9150988).

Almost surely, 2^872674560 is an apocalyptic number.

872674560 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 872674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647177840).

872674560 is an abundant number, since it is smaller than the sum of its proper divisors (2421681120).

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

872674560 is a wasteful number, since it uses less digits than its factorization.

872674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 872674560 is about 29541.0656544411. The cubic root of 872674560 is about 955.6175240945.

The spelling of 872674560 in words is "eight hundred seventy-two million, six hundred seventy-four thousand, five hundred sixty".