84610864 has 80 divisors (see below), whose sum is σ = 185925600. Its totient is φ = 37250304.

The previous prime is 84610861. The next prime is 84610879. The reversal of 84610864 is 46801648.

It is not an unprimeable number, because it can be changed into a prime (84610861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1019367 + ... + 1019449.

It is an arithmetic number, because the mean of its divisors is an integer number (2324070).

Almost surely, 2^84610864 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 84610864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92962800).

84610864 is an abundant number, since it is smaller than the sum of its proper divisors (101314736).

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

84610864 is a wasteful number, since it uses less digits than its factorization.

84610864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 84610864 is about 9198.4163854437. The cubic root of 84610864 is about 439.0109741395.

The spelling of 84610864 in words is "eighty-four million, six hundred ten thousand, eight hundred sixty-four".