84009016 has 64 divisors (see below), whose sum is σ = 195310080. Its totient is φ = 32987520.

The previous prime is 84009007. The next prime is 84009043. The reversal of 84009016 is 61090048.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121231 + ... + 121921.

It is an arithmetic number, because the mean of its divisors is an integer number (3051720).

Almost surely, 2^84009016 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 84009016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97655040).

84009016 is an abundant number, since it is smaller than the sum of its proper divisors (111301064).

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

84009016 is a wasteful number, since it uses less digits than its factorization.

84009016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 84009016 is about 9165.6432398387. The cubic root of 84009016 is about 437.9675823745.

The spelling of 84009016 in words is "eighty-four million, nine thousand, sixteen".