84215360 has 56 divisors (see below), whose sum is σ = 202859640. Its totient is φ = 33296384.

The previous prime is 84215347. The next prime is 84215377. The reversal of 84215360 is 6351248.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 84198976 = 128^2 + 9176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27002 + ... + 29958.

Almost surely, 2^84215360 is an apocalyptic number.

84215360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101429820).

84215360 is an abundant number, since it is smaller than the sum of its proper divisors (118644280).

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

84215360 is a wasteful number, since it uses less digits than its factorization.

84215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 84215360 is about 9176.8927203057. The cubic root of 84215360 is about 438.3258696829.

The spelling of 84215360 in words is "eighty-four million, two hundred fifteen thousand, three hundred sixty".