86134080 has 224 divisors, whose sum is σ = 294948864. Its totient is φ = 21243904.

The previous prime is 86134073. The next prime is 86134109. The reversal of 86134080 is 8043168.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037719 + ... + 1037801.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 2^86134080 is an apocalyptic number.

86134080 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 86134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

86134080 is an abundant number, since it is smaller than the sum of its proper divisors (208814784).

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

86134080 is a wasteful number, since it uses less digits than its factorization.

86134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 86134080 is about 9280.8447891342. The cubic root of 86134080 is about 441.6297685246.

The spelling of 86134080 in words is "eighty-six million, one hundred thirty-four thousand, eighty".