86149120 has 96 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 33538048.

The previous prime is 86149117. The next prime is 86149139. The reversal of 86149120 is 2194168.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481191 + ... + 481369.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^86149120 is an apocalyptic number.

86149120 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 86149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

86149120 is an abundant number, since it is smaller than the sum of its proper divisors (126135680).

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

86149120 is a wasteful number, since it uses less digits than its factorization.

86149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 86149120 is about 9281.6550248326. The cubic root of 86149120 is about 441.6554715726.

The spelling of 86149120 in words is "eighty-six million, one hundred forty-nine thousand, one hundred twenty".