84153920 has 28 divisors (see below), whose sum is σ = 200392284. Its totient is φ = 33661440.

The previous prime is 84153913. The next prime is 84153929. The reversal of 84153920 is 2935148.

It can be written as a sum of positive squares in 2 ways, for example, as 46895104 + 37258816 = 6848^2 + 6104^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (84153929) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 131171 + ... + 131810.

Almost surely, 2^84153920 is an apocalyptic number.

84153920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84153920 is an abundant number, since it is smaller than the sum of its proper divisors (116238364).

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

84153920 is a wasteful number, since it uses less digits than its factorization.

84153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262998 (or 262988 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 84153920 is about 9173.5445712113. The cubic root of 84153920 is about 438.2192490171.

The spelling of 84153920 in words is "eighty-four million, one hundred fifty-three thousand, nine hundred twenty".