84024252 has 144 divisors (see below), whose sum is σ = 243996480. Its totient is φ = 24192000.

The previous prime is 84024247. The next prime is 84024271. The reversal of 84024252 is 25242048.

It is a happy number.

84024252 is a `hidden beast` number, since 8 + 402 + 4 + 252 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556377 + ... + 556527.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^84024252 is an apocalyptic number.

84024252 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84024252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121998240).

84024252 is an abundant number, since it is smaller than the sum of its proper divisors (159972228).

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

84024252 is a wasteful number, since it uses less digits than its factorization.

84024252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 84024252 is about 9166.4743494977. The cubic root of 84024252 is about 437.9940575912.

The spelling of 84024252 in words is "eighty-four million, twenty-four thousand, two hundred fifty-two".