84316032 has 128 divisors (see below), whose sum is σ = 257203200. Its totient is φ = 27164160.

The previous prime is 84316031. The next prime is 84316033. The reversal of 84316032 is 23061348.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84316031) and next prime (84316033).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 84315987 and 84316005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84316031) 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, 106743 + ... + 107529.

It is an arithmetic number, because the mean of its divisors is an integer number (2009400).

Almost surely, 2^84316032 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 84316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128601600).

84316032 is an abundant number, since it is smaller than the sum of its proper divisors (172887168).

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

84316032 is a wasteful number, since it uses less digits than its factorization.

84316032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 84316032 is about 9182.3761630637. The cubic root of 84316032 is about 438.5004600437.

The spelling of 84316032 in words is "eighty-four million, three hundred sixteen thousand, thirty-two".