85668480 has 192 divisors, whose sum is σ = 300736800. Its totient is φ = 22468608.

The previous prime is 85668439. The next prime is 85668481. The reversal of 85668480 is 8486658.

85668480 is a `hidden beast` number, since 8 + 566 + 8 + 4 + 80 = 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 (45).

It is not an unprimeable number, because it can be changed into a prime (85668481) 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, 616251 + ... + 616389.

Almost surely, 2^85668480 is an apocalyptic number.

85668480 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 85668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).

85668480 is an abundant number, since it is smaller than the sum of its proper divisors (215068320).

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

85668480 is a wasteful number, since it uses less digits than its factorization.

85668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 85668480 is about 9255.7268758321. The cubic root of 85668480 is about 440.8325833427.

The spelling of 85668480 in words is "eighty-five million, six hundred sixty-eight thousand, four hundred eighty".