84333420 has 96 divisors (see below), whose sum is σ = 266918400. Its totient is φ = 22099392.

The previous prime is 84333401. The next prime is 84333427. The reversal of 84333420 is 2433348.

It is a super-2 number, since 2×84333420² = 14224251457792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (84333427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30537 + ... + 33183.

It is an arithmetic number, because the mean of its divisors is an integer number (2780400).

Almost surely, 2^84333420 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 84333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133459200).

84333420 is an abundant number, since it is smaller than the sum of its proper divisors (182584980).

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

84333420 is a wasteful number, since it uses less digits than its factorization.

84333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 84333420 is about 9183.3229280038. The cubic root of 84333420 is about 438.5306010966.

Adding to 84333420 its reverse (2433348), we get a palindrome (86766768).

The spelling of 84333420 in words is "eighty-four million, three hundred thirty-three thousand, four hundred twenty".