866587410 has 320 divisors, whose sum is σ = 2739889152. Its totient is φ = 194586624.

The previous prime is 866587409. The next prime is 866587429. The reversal of 866587410 is 14785668.

It is a happy number.

866587410 is a `hidden beast` number, since 8 + 66 + 587 + 4 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8413419 + ... + 8413521.

Almost surely, 2^866587410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866587410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369944576).

866587410 is an abundant number, since it is smaller than the sum of its proper divisors (1873301742).

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

866587410 is a wasteful number, since it uses less digits than its factorization.

866587410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 866587410 is about 29437.8567494307. The cubic root of 866587410 is about 953.3904377039.

The spelling of 866587410 in words is "eight hundred sixty-six million, five hundred eighty-seven thousand, four hundred ten".