84900948 has 48 divisors (see below), whose sum is σ = 219179520. Its totient is φ = 25362400.

The previous prime is 84900929. The next prime is 84900989.

84900948 is nontrivially palindromic in base 10.

It is a congruent number.

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, 4843 + ... + 13901.

It is an arithmetic number, because the mean of its divisors is an integer number (4566240).

Almost surely, 2^84900948 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 84900948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109589760).

84900948 is an abundant number, since it is smaller than the sum of its proper divisors (134278572).

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

84900948 is a wasteful number, since it uses less digits than its factorization.

84900948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9148 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 84900948 is about 9214.1710424758. The cubic root of 84900948 is about 439.5121107243.

The spelling of 84900948 in words is "eighty-four million, nine hundred thousand, nine hundred forty-eight".