84891920 has 20 divisors (see below), whose sum is σ = 197373900. Its totient is φ = 33956736.

The previous prime is 84891907. The next prime is 84891923. The reversal of 84891920 is 2919848.

It can be written as a sum of positive squares in 2 ways, for example, as 32126224 + 52765696 = 5668^2 + 7264^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (84891923) 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 3 ways as a sum of consecutive naturals, for example, 530495 + ... + 530654.

It is an arithmetic number, because the mean of its divisors is an integer number (9868695).

Almost surely, 2^84891920 is an apocalyptic number.

84891920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84891920 is an abundant number, since it is smaller than the sum of its proper divisors (112481980).

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

84891920 is a wasteful number, since it uses less digits than its factorization.

84891920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061162 (or 1061156 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 84891920 is about 9213.6811318821. The cubic root of 84891920 is about 439.4965315658.

The spelling of 84891920 in words is "eighty-four million, eight hundred ninety-one thousand, nine hundred twenty".