84305970 has 96 divisors (see below), whose sum is σ = 255715200. Its totient is φ = 19262880.

The previous prime is 84305959. The next prime is 84305993. The reversal of 84305970 is 7950348.

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, 29505 + ... + 32235.

It is an arithmetic number, because the mean of its divisors is an integer number (2663700).

Almost surely, 2^84305970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84305970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127857600).

84305970 is an abundant number, since it is smaller than the sum of its proper divisors (171409230).

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

84305970 is a wasteful number, since it uses less digits than its factorization.

84305970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 84305970 is about 9181.8282493194. The cubic root of 84305970 is about 438.4830162787.

It can be divided in two parts, 8430 and 5970, that added together give a square (14400 = 120²).

The spelling of 84305970 in words is "eighty-four million, three hundred five thousand, nine hundred seventy".