84148224 has 76 divisors (see below), whose sum is σ = 226491984. Its totient is φ = 27787264.

The previous prime is 84148213. The next prime is 84148231. The reversal of 84148224 is 42284148.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 786379 + ... + 786485.

Almost surely, 2^84148224 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 84148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113245992).

84148224 is an abundant number, since it is smaller than the sum of its proper divisors (142343760).

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

84148224 is an frugal number, since it uses more digits than its factorization.

84148224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 84148224 is about 9173.2341079905. The cubic root of 84148224 is about 438.2093617646.

The spelling of 84148224 in words is "eighty-four million, one hundred forty-eight thousand, two hundred twenty-four".