84646080 has 224 divisors, whose sum is σ = 304678080. Its totient is φ = 22118400.

The previous prime is 84646073. The next prime is 84646087. The reversal of 84646080 is 8064648.

84646080 is a `hidden beast` number, since 8 + 4 + 646 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84646073) and next prime (84646087).

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 (84646087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838030 + ... + 838130.

It is an arithmetic number, because the mean of its divisors is an integer number (1360170).

Almost surely, 2^84646080 is an apocalyptic number.

84646080 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 84646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152339040).

84646080 is an abundant number, since it is smaller than the sum of its proper divisors (220032000).

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

84646080 is a wasteful number, since it uses less digits than its factorization.

84646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 84646080 is about 9200.3304288487. The cubic root of 84646080 is about 439.0718728047.

The spelling of 84646080 in words is "eighty-four million, six hundred forty-six thousand, eighty".