84966948 has 96 divisors (see below), whose sum is σ = 246933120. Its totient is φ = 25038720.

The previous prime is 84966943. The next prime is 84966967.

84966948 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84966894 and 84966903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84966941) 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 31 ways as a sum of consecutive naturals, for example, 42990 + ... + 44922.

It is an arithmetic number, because the mean of its divisors is an integer number (2572220).

Almost surely, 2^84966948 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 84966948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123466560).

84966948 is an abundant number, since it is smaller than the sum of its proper divisors (161966172).

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

84966948 is a wasteful number, since it uses less digits than its factorization.

84966948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1986 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 84966948 is about 9217.7517866343. The cubic root of 84966948 is about 439.6259700179.

The spelling of 84966948 in words is "eighty-four million, nine hundred sixty-six thousand, nine hundred forty-eight".