86496480 has 144 divisors (see below), whose sum is σ = 337375584. Its totient is φ = 19768320.

The previous prime is 86496469. The next prime is 86496523. The reversal of 86496480 is 8469468.

It is a happy number.

86496480 is a `hidden beast` number, since 86 + 4 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5790 + ... + 14370.

It is an arithmetic number, because the mean of its divisors is an integer number (2342886).

Almost surely, 2^86496480 is an apocalyptic number.

86496480 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 86496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168687792).

86496480 is an abundant number, since it is smaller than the sum of its proper divisors (250879104).

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

86496480 is a wasteful number, since it uses less digits than its factorization.

86496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 86496480 is about 9300.3483805716. The cubic root of 86496480 is about 442.2482720313.

It can be divided in two parts, 8649 and 6480, that added together give a square (15129 = 123²).

The spelling of 86496480 in words is "eighty-six million, four hundred ninety-six thousand, four hundred eighty".