84967848 has 144 divisors (see below), whose sum is σ = 278160480. Its totient is φ = 22949568.

The previous prime is 84967823. The next prime is 84967849. The reversal of 84967848 is 84876948.

It is a super-2 number, since 2×84967848² = 14439070387502208, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 84967794 and 84967803.

It is not an unprimeable number, because it can be changed into a prime (84967849) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181711 + ... + 182177.

It is an arithmetic number, because the mean of its divisors is an integer number (1931670).

Almost surely, 2^84967848 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 84967848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139080240).

84967848 is an abundant number, since it is smaller than the sum of its proper divisors (193192632).

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

84967848 is a wasteful number, since it uses less digits than its factorization.

84967848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 498 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 84967848 is about 9217.8006053505. The cubic root of 84967848 is about 439.6275222371.

The spelling of 84967848 in words is "eighty-four million, nine hundred sixty-seven thousand, eight hundred forty-eight".