867684960 has 336 divisors, whose sum is σ = 3163107024. Its totient is φ = 224695296.

The previous prime is 867684931. The next prime is 867684967. The reversal of 867684960 is 69486768.

867684960 is a `hidden beast` number, since 86 + 76 + 8 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 867684897 and 867684906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867684967) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5015434 + ... + 5015606.

It is an arithmetic number, because the mean of its divisors is an integer number (9414009).

Almost surely, 2^867684960 is an apocalyptic number.

867684960 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 867684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581553512).

867684960 is an abundant number, since it is smaller than the sum of its proper divisors (2295422064).

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

867684960 is a wasteful number, since it uses less digits than its factorization.

867684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 867684960 is about 29456.4926629088. The cubic root of 867684960 is about 953.7927638144.

It can be divided in two parts, 8676 and 84960, that added together give a square (93636 = 306²).

The spelling of 867684960 in words is "eight hundred sixty-seven million, six hundred eighty-four thousand, nine hundred sixty".