869587680 has 384 divisors, whose sum is σ = 3157926912. Its totient is φ = 199507968.

The previous prime is 869587661. The next prime is 869587699. The reversal of 869587680 is 86785968.

It is an interprime number because it is at equal distance from previous prime (869587661) and next prime (869587699).

It is a self number, because there is not a number n which added to its sum of digits gives 869587680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10476919 + ... + 10477001.

It is an arithmetic number, because the mean of its divisors is an integer number (8223768).

Almost surely, 2^869587680 is an apocalyptic number.

869587680 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 869587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578963456).

869587680 is an abundant number, since it is smaller than the sum of its proper divisors (2288339232).

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

869587680 is a wasteful number, since it uses less digits than its factorization.

869587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The square root of 869587680 is about 29488.7721005809. The cubic root of 869587680 is about 954.4894358880.

The spelling of 869587680 in words is "eight hundred sixty-nine million, five hundred eighty-seven thousand, six hundred eighty".