84654720 has 320 divisors, whose sum is σ = 319904640. Its totient is φ = 21288960.

The previous prime is 84654637. The next prime is 84654721. The reversal of 84654720 is 2745648.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (84654721) 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 39 ways as a sum of consecutive naturals, for example, 1192285 + ... + 1192355.

It is an arithmetic number, because the mean of its divisors is an integer number (999702).

Almost surely, 2^84654720 is an apocalyptic number.

84654720 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 84654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159952320).

84654720 is an abundant number, since it is smaller than the sum of its proper divisors (235249920).

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

84654720 is a wasteful number, since it uses less digits than its factorization.

84654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 84654720 is about 9200.7999652204. The cubic root of 84654720 is about 439.0868112871.

The spelling of 84654720 in words is "eighty-four million, six hundred fifty-four thousand, seven hundred twenty".