84506472 has 96 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 27216000.

The previous prime is 84506459. The next prime is 84506489. The reversal of 84506472 is 27460548.

84506472 is a `hidden beast` number, since 8 + 4 + 5 + 0 + 647 + 2 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 311697 + ... + 311967.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360).

Almost surely, 2^84506472 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 84506472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

84506472 is an abundant number, since it is smaller than the sum of its proper divisors (152264088).

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

84506472 is a wasteful number, since it uses less digits than its factorization.

84506472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 84506472 is about 9192.7401790761. The cubic root of 84506472 is about 438.8303507843.

It can be divided in two parts, 8450647 and 2, that added together give a square (8450649 = 2907²).

The spelling of 84506472 in words is "eighty-four million, five hundred six thousand, four hundred seventy-two".