86480928 has 72 divisors (see below), whose sum is σ = 246840048. Its totient is φ = 28720512.

The previous prime is 86480923. The next prime is 86480957. The reversal of 86480928 is 82908468.

It is a happy number.

86480928 is a `hidden beast` number, since 86 + 480 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (86480923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134175 + ... + 134817.

It is an arithmetic number, because the mean of its divisors is an integer number (3428334).

Almost surely, 2^86480928 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 86480928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123420024).

86480928 is an abundant number, since it is smaller than the sum of its proper divisors (160359120).

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

86480928 is a wasteful number, since it uses less digits than its factorization.

86480928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 86480928 is about 9299.5122452739. The cubic root of 86480928 is about 442.2217651439.

The spelling of 86480928 in words is "eighty-six million, four hundred eighty thousand, nine hundred twenty-eight".