86309607384 has 288 divisors, whose sum is σ = 315581011200. Its totient is φ = 20693387520.

The previous prime is 86309607337. The next prime is 86309607389. The reversal of 86309607384 is 48370690368.

It is a self number, because there is not a number n which added to its sum of digits gives 86309607384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86309607389) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 890877 + ... + 982995.

It is an arithmetic number, because the mean of its divisors is an integer number (1095767400).

Almost surely, 2^86309607384 is an apocalyptic number.

86309607384 is a gapful number since it is divisible by the number (84) 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 86309607384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157790505600).

86309607384 is an abundant number, since it is smaller than the sum of its proper divisors (229271403816).

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

86309607384 is a wasteful number, since it uses less digits than its factorization.

86309607384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92175 (or 92155 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 86309607384 in words is "eighty-six billion, three hundred nine million, six hundred seven thousand, three hundred eighty-four".