86478700 has 108 divisors (see below), whose sum is σ = 235967536. Its totient is φ = 26928000.

The previous prime is 86478673. The next prime is 86478703. The reversal of 86478700 is 787468.

It is not an unprimeable number, because it can be changed into a prime (86478703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84190 + ... + 85210.

Almost surely, 2^86478700 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 86478700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117983768).

86478700 is an abundant number, since it is smaller than the sum of its proper divisors (149488836).

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

86478700 is a wasteful number, since it uses less digits than its factorization.

86478700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 86478700 is about 9299.3924532735. The cubic root of 86478700 is about 442.2179674720.

It can be divided in two parts, 86478 and 700, that added together give a palindrome (87178).

The spelling of 86478700 in words is "eighty-six million, four hundred seventy-eight thousand, seven hundred".