84202380 has 144 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 21302784.

The previous prime is 84202351. The next prime is 84202403. The reversal of 84202380 is 8320248.

84202380 is a `hidden beast` number, since 8 + 420 + 238 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312886 + ... + 313154.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^84202380 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 84202380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

84202380 is an abundant number, since it is smaller than the sum of its proper divisors (184691700).

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

84202380 is a wasteful number, since it uses less digits than its factorization.

84202380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84202380 is about 9176.1854819963. The cubic root of 84202380 is about 438.3033490006.

The spelling of 84202380 in words is "eighty-four million, two hundred two thousand, three hundred eighty".