84814016 has 84 divisors (see below), whose sum is σ = 199759824. Its totient is φ = 34997760.

The previous prime is 84814013. The next prime is 84814021. The reversal of 84814016 is 61041848.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84814013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430430 + ... + 430626.

Almost surely, 2^84814016 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 84814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99879912).

84814016 is an abundant number, since it is smaller than the sum of its proper divisors (114945808).

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

84814016 is a wasteful number, since it uses less digits than its factorization.

84814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 84814016 is about 9209.4525353031. The cubic root of 84814016 is about 439.3620507007.

The spelling of 84814016 in words is "eighty-four million, eight hundred fourteen thousand, sixteen".