84963840 has 320 divisors, whose sum is σ = 313479936. Its totient is φ = 19464192.

The previous prime is 84963799. The next prime is 84963859. The reversal of 84963840 is 4836948.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 84963792 and 84963801.

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 31 ways as a sum of consecutive naturals, for example, 2296302 + ... + 2296338.

Almost surely, 2^84963840 is an apocalyptic number.

84963840 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 84963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

84963840 is an abundant number, since it is smaller than the sum of its proper divisors (228516096).

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

84963840 is a wasteful number, since it uses less digits than its factorization.

84963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 84963840 is about 9217.5831973463. The cubic root of 84963840 is about 439.6206096034.

The spelling of 84963840 in words is "eighty-four million, nine hundred sixty-three thousand, eight hundred forty".