84580950 has 96 divisors (see below), whose sum is σ = 227797920. Its totient is φ = 20684800.

The previous prime is 84580949. The next prime is 84580961. The reversal of 84580950 is 5908548.

It is a junction number, because it is equal to n+sod(n) for n = 84580899 and 84580908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104146 + ... + 104954.

It is an arithmetic number, because the mean of its divisors is an integer number (2372895).

Almost surely, 2^84580950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84580950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113898960).

84580950 is an abundant number, since it is smaller than the sum of its proper divisors (143216970).

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

84580950 is a wasteful number, since it uses less digits than its factorization.

84580950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 84580950 is about 9196.7902009342. The cubic root of 84580950 is about 438.9592308935.

The spelling of 84580950 in words is "eighty-four million, five hundred eighty thousand, nine hundred fifty".