84955948 has 48 divisors (see below), whose sum is σ = 187262208. Its totient is φ = 32760000.

The previous prime is 84955939. The next prime is 84955957.

84955948 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (84955939) and next prime (84955957).

It is a junction number, because it is equal to n+sod(n) for n = 84955895 and 84955904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29743 + ... + 32473.

It is an arithmetic number, because the mean of its divisors is an integer number (3901296).

Almost surely, 2^84955948 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 84955948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93631104).

84955948 is an abundant number, since it is smaller than the sum of its proper divisors (102306260).

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

84955948 is a wasteful number, since it uses less digits than its factorization.

84955948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2852 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The square root of 84955948 is about 9217.1550925435. The cubic root of 84955948 is about 439.6069975646.

The spelling of 84955948 in words is "eighty-four million, nine hundred fifty-five thousand, nine hundred forty-eight".