84401016 has 64 divisors (see below), whose sum is σ = 245721600. Its totient is φ = 23657088.

The previous prime is 84401011. The next prime is 84401029. The reversal of 84401016 is 61010448.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84401011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4165 + ... + 13643.

It is an arithmetic number, because the mean of its divisors is an integer number (3839400).

Almost surely, 2^84401016 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 84401016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122860800).

84401016 is an abundant number, since it is smaller than the sum of its proper divisors (161320584).

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

84401016 is a wasteful number, since it uses less digits than its factorization.

84401016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 84401016 is about 9187.0025579620. The cubic root of 84401016 is about 438.6477353561.

The spelling of 84401016 in words is "eighty-four million, four hundred one thousand, sixteen".