86978600 has 48 divisors (see below), whose sum is σ = 202901820. Its totient is φ = 34675200.

The previous prime is 86978597. The next prime is 86978609. The reversal of 86978600 is 687968.

It can be written as a sum of positive squares in 6 ways, for example, as 26481316 + 60497284 = 5146^2 + 7778^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86978609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 83684 + ... + 84716.

Almost surely, 2^86978600 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 86978600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101450910).

86978600 is an abundant number, since it is smaller than the sum of its proper divisors (115923220).

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

86978600 is a wasteful number, since it uses less digits than its factorization.

86978600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 86978600 is about 9326.2318221241. The cubic root of 86978600 is about 443.0684279950.

It can be divided in two parts, 86978 and 600, that added together give a palindrome (87578).

The spelling of 86978600 in words is "eighty-six million, nine hundred seventy-eight thousand, six hundred".