84968464 has 40 divisors (see below), whose sum is σ = 189148608. Its totient is φ = 36220800.

The previous prime is 84968453. The next prime is 84968483. The reversal of 84968464 is 46486948.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20139 + ... + 23989.

Almost surely, 2^84968464 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 84968464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94574304).

84968464 is an abundant number, since it is smaller than the sum of its proper divisors (104180144).

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

84968464 is a wasteful number, since it uses less digits than its factorization.

84968464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4057 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

The square root of 84968464 is about 9217.8340189005. The cubic root of 84968464 is about 439.6285846385.

The spelling of 84968464 in words is "eighty-four million, nine hundred sixty-eight thousand, four hundred sixty-four".