84416256 has 216 divisors, whose sum is σ = 267845760. Its totient is φ = 26459136.

The previous prime is 84416209. The next prime is 84416261. The reversal of 84416256 is 65261448.

84416256 = 56³ + 57³ + ... + 136³.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×84416256² = 14252208554115072, which contains 22 as substring.

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 84416256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430755 + ... + 1430813.

Almost surely, 2^84416256 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 84416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

84416256 is an abundant number, since it is smaller than the sum of its proper divisors (183429504).

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

84416256 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 13 representation: 84416256 = (14648562)₁₃.

84416256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 84416256 is about 9187.8319531868. The cubic root of 84416256 is about 438.6741354694.

The spelling of 84416256 in words is "eighty-four million, four hundred sixteen thousand, two hundred fifty-six".