84566016 has 168 divisors, whose sum is σ = 258982464. Its totient is φ = 26542080.

The previous prime is 84566011. The next prime is 84566021. The reversal of 84566016 is 61066548.

84566016 is a `hidden beast` number, since 8 + 45 + 6 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (84566011) and next prime (84566021).

It is a super-2 number, since 2×84566016² = 14302822124224512, which contains 22 as substring.

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 (84566011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2285550 + ... + 2285586.

Almost surely, 2^84566016 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 84566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129491232).

84566016 is an abundant number, since it is smaller than the sum of its proper divisors (174416448).

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

84566016 is a wasteful number, since it uses less digits than its factorization.

84566016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 84566016 is about 9195.9782513879. The cubic root of 84566016 is about 438.9333944886.

The spelling of 84566016 in words is "eighty-four million, five hundred sixty-six thousand, sixteen".