86480352 has 192 divisors, whose sum is σ = 293529600. Its totient is φ = 24261120.

The previous prime is 86480351. The next prime is 86480389. The reversal of 86480352 is 25308468.

86480352 is a `hidden beast` number, since 8 + 648 + 0 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86480351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477702 + ... + 477882.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^86480352 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 86480352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

86480352 is an abundant number, since it is smaller than the sum of its proper divisors (207049248).

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

86480352 is a wasteful number, since it uses less digits than its factorization.

86480352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 86480352 is about 9299.4812758562. The cubic root of 86480352 is about 442.2207833463.

The spelling of 86480352 in words is "eighty-six million, four hundred eighty thousand, three hundred fifty-two".