84670080 has 256 divisors, whose sum is σ = 311385600. Its totient is φ = 19353600.

The previous prime is 84670073. The next prime is 84670093. The reversal of 84670080 is 8007648.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401175 + ... + 401385.

It is an arithmetic number, because the mean of its divisors is an integer number (1216350).

Almost surely, 2^84670080 is an apocalyptic number.

84670080 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 84670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155692800).

84670080 is an abundant number, since it is smaller than the sum of its proper divisors (226715520).

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

84670080 is a wasteful number, since it uses less digits than its factorization.

84670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 84670080 is about 9201.6346373892. The cubic root of 84670080 is about 439.1133660795.

The spelling of 84670080 in words is "eighty-four million, six hundred seventy thousand, eighty".