84083968 has 72 divisors (see below), whose sum is σ = 180280800. Its totient is φ = 39020544.

The previous prime is 84083957. The next prime is 84083977. The reversal of 84083968 is 86938048.

It is a super-2 number, since 2×84083968² = 14140227349250048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286830 + ... + 287122.

It is an arithmetic number, because the mean of its divisors is an integer number (2503900).

Almost surely, 2^84083968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90140400).

84083968 is an abundant number, since it is smaller than the sum of its proper divisors (96196832).

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

84083968 is a wasteful number, since it uses less digits than its factorization.

84083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 84083968 is about 9169.7310756641. The cubic root of 84083968 is about 438.0977937499.

The spelling of 84083968 in words is "eighty-four million, eighty-three thousand, nine hundred sixty-eight".