84223920 has 160 divisors (see below), whose sum is σ = 290052864. Its totient is φ = 20044800.

The previous prime is 84223883. The next prime is 84223921. The reversal of 84223920 is 2932248.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (84223921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160779 + ... + 161301.

Almost surely, 2^84223920 is an apocalyptic number.

84223920 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 84223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145026432).

84223920 is an abundant number, since it is smaller than the sum of its proper divisors (205828944).

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

84223920 is a wasteful number, since it uses less digits than its factorization.

84223920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 84223920 is about 9177.3590972567. The cubic root of 84223920 is about 438.3407202689.

The spelling of 84223920 in words is "eighty-four million, two hundred twenty-three thousand, nine hundred twenty".