84214032 has 80 divisors (see below), whose sum is σ = 253376640. Its totient is φ = 23602176.

The previous prime is 84214027. The next prime is 84214033. The reversal of 84214032 is 23041248.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 84213993 and 84214011.

It is not an unprimeable number, because it can be changed into a prime (84214033) 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, 15444 + ... + 20172.

It is an arithmetic number, because the mean of its divisors is an integer number (3167208).

Almost surely, 2^84214032 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 84214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126688320).

84214032 is an abundant number, since it is smaller than the sum of its proper divisors (169162608).

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

84214032 is a wasteful number, since it uses less digits than its factorization.

84214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 84214032 is about 9176.8203643746. The cubic root of 84214032 is about 438.3235656701.

The spelling of 84214032 in words is "eighty-four million, two hundred fourteen thousand, thirty-two".