86532480 has 192 divisors, whose sum is σ = 304078320. Its totient is φ = 22671360.

The previous prime is 86532451. The next prime is 86532487. The reversal of 86532480 is 8423568.

86532480 is a `hidden beast` number, since 86 + 532 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (86532487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477990 + ... + 478170.

Almost surely, 2^86532480 is an apocalyptic number.

86532480 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 86532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152039160).

86532480 is an abundant number, since it is smaller than the sum of its proper divisors (217545840).

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

86532480 is a wasteful number, since it uses less digits than its factorization.

86532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

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

The square root of 86532480 is about 9302.2835906029. The cubic root of 86532480 is about 442.3096183795.

The spelling of 86532480 in words is "eighty-six million, five hundred thirty-two thousand, four hundred eighty".