84353920 has 128 divisors (see below), whose sum is σ = 242841600. Its totient is φ = 27371520.

The previous prime is 84353897. The next prime is 84353923. The reversal of 84353920 is 2935348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84353923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84625 + ... + 85615.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 2^84353920 is an apocalyptic number.

84353920 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 84353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

84353920 is an abundant number, since it is smaller than the sum of its proper divisors (158487680).

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

84353920 is a wasteful number, since it uses less digits than its factorization.

84353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 84353920 is about 9184.4390138974. The cubic root of 84353920 is about 438.5661312932.

The spelling of 84353920 in words is "eighty-four million, three hundred fifty-three thousand, nine hundred twenty".