84193776 has 80 divisors (see below), whose sum is σ = 244825600. Its totient is φ = 27698112.

The previous prime is 84193771. The next prime is 84193783. The reversal of 84193776 is 67739148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84193771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32895 + ... + 35361.

It is an arithmetic number, because the mean of its divisors is an integer number (3060320).

Almost surely, 2^84193776 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 84193776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122412800).

84193776 is an abundant number, since it is smaller than the sum of its proper divisors (160631824).

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

84193776 is a wasteful number, since it uses less digits than its factorization.

84193776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2551 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 84193776 is about 9175.7166477611. The cubic root of 84193776 is about 438.2884195315.

The spelling of 84193776 in words is "eighty-four million, one hundred ninety-three thousand, seven hundred seventy-six".