84342720 has 336 divisors, whose sum is σ = 341912448. Its totient is φ = 17418240.

The previous prime is 84342703. The next prime is 84342733. The reversal of 84342720 is 2724348.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×84342720² = 14227388833996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517359 + ... + 517521.

Almost surely, 2^84342720 is an apocalyptic number.

84342720 is a gapful number since it is divisible by the number (80) 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 84342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170956224).

84342720 is an abundant number, since it is smaller than the sum of its proper divisors (257569728).

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

84342720 is a wasteful number, since it uses less digits than its factorization.

84342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 84342720 is about 9183.8292667057. The cubic root of 84342720 is about 438.5467203871.

The spelling of 84342720 in words is "eighty-four million, three hundred forty-two thousand, seven hundred twenty".