84001016 has 64 divisors (see below), whose sum is σ = 178675200. Its totient is φ = 36691200.

The previous prime is 84001013. The next prime is 84001019. The reversal of 84001016 is 61010048.

It is an interprime number because it is at equal distance from previous prime (84001013) and next prime (84001019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84001013) 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, 298796 + ... + 299076.

It is an arithmetic number, because the mean of its divisors is an integer number (2791800).

Almost surely, 2^84001016 is an apocalyptic number.

84001016 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89337600).

84001016 is an abundant number, since it is smaller than the sum of its proper divisors (94674184).

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

84001016 is a wasteful number, since it uses less digits than its factorization.

84001016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 84001016 is about 9165.2068170882. The cubic root of 84001016 is about 437.9536796926.

The spelling of 84001016 in words is "eighty-four million, one thousand, sixteen".