84999360 has 112 divisors (see below), whose sum is σ = 277282656. Its totient is φ = 22044672.

The previous prime is 84999311. The next prime is 84999367. The reversal of 84999360 is 6399948.

It is a happy number.

It is a super-3 number, since 3×84999360³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (84999367) 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 15 ways as a sum of consecutive naturals, for example, 34324 + ... + 36716.

It is an arithmetic number, because the mean of its divisors is an integer number (2475738).

Almost surely, 2^84999360 is an apocalyptic number.

84999360 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 84999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138641328).

84999360 is an abundant number, since it is smaller than the sum of its proper divisors (192283296).

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

84999360 is a wasteful number, since it uses less digits than its factorization.

84999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 84999360 is about 9219.5097483543. The cubic root of 84999360 is about 439.6818636950.

The spelling of 84999360 in words is "eighty-four million, nine hundred ninety-nine thousand, three hundred sixty".