84466368 has 112 divisors (see below), whose sum is σ = 283829760. Its totient is φ = 24129792.

The previous prime is 84466363. The next prime is 84466397. The reversal of 84466368 is 86366448.

84466368 is a `hidden beast` number, since 8 + 4 + 4 + 6 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×84466368³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84466363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8605 + ... + 15587.

Almost surely, 2^84466368 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 84466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141914880).

84466368 is an abundant number, since it is smaller than the sum of its proper divisors (199363392).

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

84466368 is a wasteful number, since it uses less digits than its factorization.

84466368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 6995 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 84466368 is about 9190.5586337284. The cubic root of 84466368 is about 438.7609216362.

The spelling of 84466368 in words is "eighty-four million, four hundred sixty-six thousand, three hundred sixty-eight".