84633648 has 80 divisors (see below), whose sum is σ = 241651200. Its totient is φ = 25309440.

The previous prime is 84633643. The next prime is 84633673.

84633648 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 (84633641) 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, 40698 + ... + 42726.

It is an arithmetic number, because the mean of its divisors is an integer number (3020640).

Almost surely, 2^84633648 is an apocalyptic number.

84633648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84633648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120825600).

84633648 is an abundant number, since it is smaller than the sum of its proper divisors (157017552).

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

84633648 is a wasteful number, since it uses less digits than its factorization.

84633648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2124 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 84633648 is about 9199.6547761315. The cubic root of 84633648 is about 439.0503762047.

The spelling of 84633648 in words is "eighty-four million, six hundred thirty-three thousand, six hundred forty-eight".