84390768 has 320 divisors, whose sum is σ = 314265600. Its totient is φ = 21047040.

The previous prime is 84390731. The next prime is 84390781. The reversal of 84390768 is 86709348.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1430323 + ... + 1430381.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 2^84390768 is an apocalyptic number.

84390768 is a gapful number since it is divisible by the number (88) 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 84390768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

84390768 is an abundant number, since it is smaller than the sum of its proper divisors (229874832).

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

84390768 is a wasteful number, since it uses less digits than its factorization.

84390768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 84390768 is about 9186.4447965467. Note that the first 3 decimals coincide. The cubic root of 84390768 is about 438.6299810519.

It can be divided in two parts, 84390 and 768, that added together give a palindrome (85158).

The spelling of 84390768 in words is "eighty-four million, three hundred ninety thousand, seven hundred sixty-eight".