84351456 has 120 divisors (see below), whose sum is σ = 283575600. Its totient is φ = 24095232.

The previous prime is 84351451. The next prime is 84351493. The reversal of 84351456 is 65415348.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84351456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84351451) 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 19 ways as a sum of consecutive naturals, for example, 15820 + ... + 20468.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 2^84351456 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 84351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141787800).

84351456 is an abundant number, since it is smaller than the sum of its proper divisors (199224144).

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

84351456 is a wasteful number, since it uses less digits than its factorization.

84351456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4661 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 84351456 is about 9184.3048729885. The cubic root of 84351456 is about 438.5618610413.

The spelling of 84351456 in words is "eighty-four million, three hundred fifty-one thousand, four hundred fifty-six".