84441720 has 256 divisors, whose sum is σ = 302330880. Its totient is φ = 18636800.

The previous prime is 84441697. The next prime is 84441779. The reversal of 84441720 is 2714448.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1189285 + ... + 1189355.

It is an arithmetic number, because the mean of its divisors is an integer number (1180980).

Almost surely, 2^84441720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84441720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151165440).

84441720 is an abundant number, since it is smaller than the sum of its proper divisors (217889160).

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

84441720 is a wasteful number, since it uses less digits than its factorization.

84441720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 84441720 is about 9189.2175945507. The cubic root of 84441720 is about 438.7182394360.

The spelling of 84441720 in words is "eighty-four million, four hundred forty-one thousand, seven hundred twenty".