84098880 has 84 divisors (see below), whose sum is σ = 289275012. Its totient is φ = 22425600.

The previous prime is 84098873. The next prime is 84098887. The reversal of 84098880 is 8889048.

It is an interprime number because it is at equal distance from previous prime (84098873) and next prime (84098887).

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 55711296 = 5328^2 + 7464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84098887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11721 + ... + 17480.

Almost surely, 2^84098880 is an apocalyptic number.

84098880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84098880 is an abundant number, since it is smaller than the sum of its proper divisors (205176132).

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

84098880 is a wasteful number, since it uses less digits than its factorization.

84098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29224 (or 29211 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 84098880 is about 9170.5441496129. The cubic root of 84098880 is about 438.1236905937.

The spelling of 84098880 in words is "eighty-four million, ninety-eight thousand, eight hundred eighty".