84689920 has 176 divisors, whose sum is σ = 247605120. Its totient is φ = 27131904.

The previous prime is 84689909. The next prime is 84689921. The reversal of 84689920 is 2998648.

It is not an unprimeable number, because it can be changed into a prime (84689921) 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, 609211 + ... + 609349.

Almost surely, 2^84689920 is an apocalyptic number.

84689920 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 84689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123802560).

84689920 is an abundant number, since it is smaller than the sum of its proper divisors (162915200).

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

84689920 is a wasteful number, since it uses less digits than its factorization.

84689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 84689920 is about 9202.7126435633. The cubic root of 84689920 is about 439.1476612670.

The spelling of 84689920 in words is "eighty-four million, six hundred eighty-nine thousand, nine hundred twenty".