84581920 has 48 divisors (see below), whose sum is σ = 210349440. Its totient is φ = 32050944.

The previous prime is 84581909. The next prime is 84581923. The reversal of 84581920 is 2918548.

It is a self number, because there is not a number n which added to its sum of digits gives 84581920.

It is not an unprimeable number, because it can be changed into a prime (84581923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10872 + ... + 16951.

It is an arithmetic number, because the mean of its divisors is an integer number (4382280).

Almost surely, 2^84581920 is an apocalyptic number.

84581920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84581920 is an abundant number, since it is smaller than the sum of its proper divisors (125767520).

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

84581920 is a wasteful number, since it uses less digits than its factorization.

84581920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27857 (or 27849 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 84581920 is about 9196.8429365734. The cubic root of 84581920 is about 438.9609089263.

It can be divided in two parts, 845 and 81920, that multiplied together give a square (69222400 = 8320²).

The spelling of 84581920 in words is "eighty-four million, five hundred eighty-one thousand, nine hundred twenty".