86863600 has 60 divisors (see below), whose sum is σ = 209597944. Its totient is φ = 34594560.

The previous prime is 86863589. The next prime is 86863603. The reversal of 86863600 is 636868.

It is a self number, because there is not a number n which added to its sum of digits gives 86863600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86863603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158527 + ... + 159073.

Almost surely, 2^86863600 is an apocalyptic number.

86863600 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 86863600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104798972).

86863600 is an abundant number, since it is smaller than the sum of its proper divisors (122734344).

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

86863600 is a wasteful number, since it uses less digits than its factorization.

86863600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 86863600 is about 9320.0643774601. The cubic root of 86863600 is about 442.8730721192.

The spelling of 86863600 in words is "eighty-six million, eight hundred sixty-three thousand, six hundred".