84149916 has 48 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 26732992.

The previous prime is 84149899. The next prime is 84149941. The reversal of 84149916 is 61994148.

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, 140185 + ... + 140783.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2^84149916 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 84149916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

84149916 is an abundant number, since it is smaller than the sum of its proper divisors (121482084).

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

84149916 is a wasteful number, since it uses less digits than its factorization.

84149916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 84149916 is about 9173.3263323617. The cubic root of 84149916 is about 438.2122988251.

The spelling of 84149916 in words is "eighty-four million, one hundred forty-nine thousand, nine hundred sixteen".