84064608 has 96 divisors (see below), whose sum is σ = 247212000. Its totient is φ = 27790848.

The previous prime is 84064579. The next prime is 84064619. The reversal of 84064608 is 80646048.

84064608 is a `hidden beast` number, since 8 + 4 + 0 + 646 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128410 + ... + 129062.

It is an arithmetic number, because the mean of its divisors is an integer number (2575125).

Almost surely, 2^84064608 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 84064608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123606000).

84064608 is an abundant number, since it is smaller than the sum of its proper divisors (163147392).

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

84064608 is a wasteful number, since it uses less digits than its factorization.

84064608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 84064608 is about 9168.6753677944. The cubic root of 84064608 is about 438.0641677428.

The spelling of 84064608 in words is "eighty-four million, sixty-four thousand, six hundred eight".