84469760 has 96 divisors (see below), whose sum is σ = 207272520. Its totient is φ = 33030144.

The previous prime is 84469741. The next prime is 84469771. The reversal of 84469760 is 6796448.

It can be written as a sum of positive squares in 4 ways, for example, as 44729344 + 39740416 = 6688^2 + 6304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747464 + ... + 747576.

Almost surely, 2^84469760 is an apocalyptic number.

84469760 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 84469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103636260).

84469760 is an abundant number, since it is smaller than the sum of its proper divisors (122802760).

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

84469760 is a wasteful number, since it uses less digits than its factorization.

84469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 84469760 is about 9190.7431690805. The cubic root of 84469760 is about 438.7667948106.

The spelling of 84469760 in words is "eighty-four million, four hundred sixty-nine thousand, seven hundred sixty".