84958080 has 64 divisors (see below), whose sum is σ = 270810000. Its totient is φ = 22654976.

The previous prime is 84958019. The next prime is 84958121. The reversal of 84958080 is 8085948.

84958080 = T₁₆₁ + T₁₆₂ + ... + T₈₀₀.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20205 + ... + 24044.

Almost surely, 2^84958080 is an apocalyptic number.

84958080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84958080 is an abundant number, since it is smaller than the sum of its proper divisors (185851920).

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

84958080 is a wasteful number, since it uses less digits than its factorization.

84958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44271 (or 44259 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 84958080 is about 9217.2707457251. The cubic root of 84958080 is about 439.6106748989.

The spelling of 84958080 in words is "eighty-four million, nine hundred fifty-eight thousand, eighty".