863516160 has 480 divisors, whose sum is σ = 3413219040. Its totient is φ = 205701120.

The previous prime is 863516149. The next prime is 863516221. The reversal of 863516160 is 61615368.

It is a happy number.

863516160 is a `hidden beast` number, since 8 + 6 + 35 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×863516160² = 1491320317162291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27855345 + ... + 27855375.

It is an arithmetic number, because the mean of its divisors is an integer number (7110873).

Almost surely, 2^863516160 is an apocalyptic number.

863516160 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 863516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706609520).

863516160 is an abundant number, since it is smaller than the sum of its proper divisors (2549702880).

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

863516160 is a wasteful number, since it uses less digits than its factorization.

863516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 863516160 is about 29385.6454752997. The cubic root of 863516160 is about 952.2628090655.

The spelling of 863516160 in words is "eight hundred sixty-three million, five hundred sixteen thousand, one hundred sixty".