866517696 has 112 divisors (see below), whose sum is σ = 2779044480. Its totient is φ = 262575360.

The previous prime is 866517671. The next prime is 866517713. The reversal of 866517696 is 696715668.

866517696 is a `hidden beast` number, since 8 + 66 + 517 + 69 + 6 = 666.

It is a super-2 number, since 2×866517696² = 1501705834962296832, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 3786 + ... + 41801.

Almost surely, 2^866517696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866517696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389522240).

866517696 is an abundant number, since it is smaller than the sum of its proper divisors (1912526784).

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

866517696 is a wasteful number, since it uses less digits than its factorization.

866517696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45619 (or 45603 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 866517696 is about 29436.6726380547. The cubic root of 866517696 is about 953.3648713492.

The spelling of 866517696 in words is "eight hundred sixty-six million, five hundred seventeen thousand, six hundred ninety-six".