84834864 has 100 divisors (see below), whose sum is σ = 249456504. Its totient is φ = 27827712.

The previous prime is 84834853. The next prime is 84834877. The reversal of 84834864 is 46843848.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86344 + ... + 87320.

Almost surely, 2^84834864 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 84834864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124728252).

84834864 is an abundant number, since it is smaller than the sum of its proper divisors (164621640).

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

84834864 is a wasteful number, since it uses less digits than its factorization.

84834864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1049 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 84834864 is about 9210.5843462834. The cubic root of 84834864 is about 439.3980473832.

The spelling of 84834864 in words is "eighty-four million, eight hundred thirty-four thousand, eight hundred sixty-four".