86706480 has 240 divisors, whose sum is σ = 320095584. Its totient is φ = 19353600.

The previous prime is 86706469. The next prime is 86706517. The reversal of 86706480 is 8460768.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858430 + ... + 858530.

Almost surely, 2^86706480 is an apocalyptic number.

86706480 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 86706480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160047792).

86706480 is an abundant number, since it is smaller than the sum of its proper divisors (233389104).

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

86706480 is a wasteful number, since it uses less digits than its factorization.

86706480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 86706480 is about 9311.6314360052. The cubic root of 86706480 is about 442.6058861163.

The spelling of 86706480 in words is "eighty-six million, seven hundred six thousand, four hundred eighty".