84401724 has 96 divisors (see below), whose sum is σ = 229743360. Its totient is φ = 23846400.

The previous prime is 84401717. The next prime is 84401731. The reversal of 84401724 is 42710448.

It is an interprime number because it is at equal distance from previous prime (84401717) and next prime (84401731).

It is a junction number, because it is equal to n+sod(n) for n = 84401691 and 84401700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182854 + ... + 183314.

It is an arithmetic number, because the mean of its divisors is an integer number (2393160).

Almost surely, 2^84401724 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 84401724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114871680).

84401724 is an abundant number, since it is smaller than the sum of its proper divisors (145341636).

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

84401724 is a wasteful number, since it uses less digits than its factorization.

84401724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 84401724 is about 9187.0410905797. The cubic root of 84401724 is about 438.6489618884.

The spelling of 84401724 in words is "eighty-four million, four hundred one thousand, seven hundred twenty-four".