84412080 has 60 divisors (see below), whose sum is σ = 283486320. Its totient is φ = 22509696.

The previous prime is 84412073. The next prime is 84412087. The reversal of 84412080 is 8021448.

It is an interprime number because it is at equal distance from previous prime (84412073) and next prime (84412087).

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (84412087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57900 + ... + 59339.

It is an arithmetic number, because the mean of its divisors is an integer number (4724772).

Almost surely, 2^84412080 is an apocalyptic number.

84412080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84412080 is an abundant number, since it is smaller than the sum of its proper divisors (199074240).

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

84412080 is a wasteful number, since it uses less digits than its factorization.

84412080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117258 (or 117249 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84412080 is about 9187.6046932811. The cubic root of 84412080 is about 438.6669017387. Note that the first 3 decimals are identical.

It can be divided in two parts, 84 and 412080, that added together give a square (412164 = 642²).

The spelling of 84412080 in words is "eighty-four million, four hundred twelve thousand, eighty".