86309400 has 192 divisors, whose sum is σ = 288374400. Its totient is φ = 21288960.

The previous prime is 86309383. The next prime is 86309401. The reversal of 86309400 is 490368.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86309401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763744 + ... + 763856.

It is an arithmetic number, because the mean of its divisors is an integer number (1501950).

Almost surely, 2^86309400 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 86309400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144187200).

86309400 is an abundant number, since it is smaller than the sum of its proper divisors (202065000).

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

86309400 is a wasteful number, since it uses less digits than its factorization.

86309400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 86309400 is about 9290.2852485809. The cubic root of 86309400 is about 441.9292011387.

Adding to 86309400 its reverse (490368), we get a palindrome (86799768).

The spelling of 86309400 in words is "eighty-six million, three hundred nine thousand, four hundred".