84910080 has 112 divisors (see below), whose sum is σ = 272088864. Its totient is φ = 22609920.

The previous prime is 84910039. The next prime is 84910099. The reversal of 84910080 is 8001948.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

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, 122535 + ... + 123225.

Almost surely, 2^84910080 is an apocalyptic number.

84910080 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 84910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136044432).

84910080 is an abundant number, since it is smaller than the sum of its proper divisors (187178784).

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

84910080 is an equidigital number, since it uses as much as digits as its factorization.

84910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 84910080 is about 9214.6665702021. Note that the first 3 decimals coincide. The cubic root of 84910080 is about 439.5278682268.

The spelling of 84910080 in words is "eighty-four million, nine hundred ten thousand, eighty".