84838032 has 60 divisors (see below), whose sum is σ = 239349760. Its totient is φ = 28050624.

The previous prime is 84838009. The next prime is 84838049. The reversal of 84838032 is 23083848.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15969 + ... + 20607.

Almost surely, 2^84838032 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 84838032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119674880).

84838032 is an abundant number, since it is smaller than the sum of its proper divisors (154511728).

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

84838032 is a wasteful number, since it uses less digits than its factorization.

84838032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 84838032 is about 9210.7563207372. The cubic root of 84838032 is about 439.4035168157.

The spelling of 84838032 in words is "eighty-four million, eight hundred thirty-eight thousand, thirty-two".