84068352 has 72 divisors (see below), whose sum is σ = 242858070. Its totient is φ = 28016640.

The previous prime is 84068351. The next prime is 84068353. The reversal of 84068352 is 25386048.

It is an interprime number because it is at equal distance from previous prime (84068351) and next prime (84068353).

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 7750656 = 8736^2 + 2784^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84068351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16152 + ... + 20712.

Almost surely, 2^84068352 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 84068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121429035).

84068352 is an abundant number, since it is smaller than the sum of its proper divisors (158789718).

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

84068352 is a wasteful number, since it uses less digits than its factorization.

84068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 84068352 is about 9168.8795389622. The cubic root of 84068352 is about 438.0706710261.

The spelling of 84068352 in words is "eighty-four million, sixty-eight thousand, three hundred fifty-two".