84258720 has 288 divisors, whose sum is σ = 354436992. Its totient is φ = 17750016.

The previous prime is 84258719. The next prime is 84258737. The reversal of 84258720 is 2785248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130719 + ... + 131361.

It is an arithmetic number, because the mean of its divisors is an integer number (1230684).

Almost surely, 2^84258720 is an apocalyptic number.

84258720 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 84258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177218496).

84258720 is an abundant number, since it is smaller than the sum of its proper divisors (270178272).

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

84258720 is a wasteful number, since it uses less digits than its factorization.

84258720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84258720 is about 9179.2548717203. The cubic root of 84258720 is about 438.4010837880.

The spelling of 84258720 in words is "eighty-four million, two hundred fifty-eight thousand, seven hundred twenty".