84517940 has 72 divisors (see below), whose sum is σ = 196971768. Its totient is φ = 30274560.

The previous prime is 84517921. The next prime is 84517969. The reversal of 84517940 is 4971548.

It can be written as a sum of positive squares in 12 ways, for example, as 51294244 + 33223696 = 7162^2 + 5764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84517894 and 84517903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157744 + ... + 1157816.

It is an arithmetic number, because the mean of its divisors is an integer number (2735719).

Almost surely, 2^84517940 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 84517940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98485884).

84517940 is an abundant number, since it is smaller than the sum of its proper divisors (112453828).

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

84517940 is a wasteful number, since it uses less digits than its factorization.

84517940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 84517940 is about 9193.3639109958. The cubic root of 84517940 is about 438.8502004625.

The spelling of 84517940 in words is "eighty-four million, five hundred seventeen thousand, nine hundred forty".