84347424 has 216 divisors, whose sum is σ = 287567280. Its totient is φ = 23369472.

The previous prime is 84347411. The next prime is 84347429. The reversal of 84347424 is 42474348.

It is a happy number.

It is a super-2 number, since 2×84347424² = 14228975870871552, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84347429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606747 + ... + 606885.

It is an arithmetic number, because the mean of its divisors is an integer number (1331330).

Almost surely, 2^84347424 is an apocalyptic number.

84347424 is a gapful number since it is divisible by the number (84) 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 84347424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640).

84347424 is an abundant number, since it is smaller than the sum of its proper divisors (203219856).

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

84347424 is a wasteful number, since it uses less digits than its factorization.

84347424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 84347424 is about 9184.0853654569. The cubic root of 84347424 is about 438.5548731769.

The spelling of 84347424 in words is "eighty-four million, three hundred forty-seven thousand, four hundred twenty-four".