84960000 has 270 divisors, whose sum is σ = 311290980. Its totient is φ = 22272000.

The previous prime is 84959989. The next prime is 84960011. The reversal of 84960000 is 6948.

84960000 = 138³ + 139³ + ... + 162³.

It is an interprime number because it is at equal distance from previous prime (84959989) and next prime (84960011).

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 29 ways as a sum of consecutive naturals, for example, 1439971 + ... + 1440029.

Almost surely, 2^84960000 is an apocalyptic number.

84960000 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 84960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155645490).

84960000 is an abundant number, since it is smaller than the sum of its proper divisors (226330980).

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

84960000 is an equidigital number, since it uses as much as digits as its factorization.

84960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 84960000 is about 9217.3748974423. The cubic root of 84960000 is about 439.6139865170.

Adding to 84960000 its reverse (6948), we get a palindrome (84966948).

The spelling of 84960000 in words is "eighty-four million, nine hundred sixty thousand".