84006720 has 280 divisors, whose sum is σ = 342253824. Its totient is φ = 19160064.

The previous prime is 84006701. The next prime is 84006731. The reversal of 84006720 is 2760048.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181209 + ... + 181671.

Almost surely, 2^84006720 is an apocalyptic number.

84006720 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 84006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171126912).

84006720 is an abundant number, since it is smaller than the sum of its proper divisors (258247104).

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

84006720 is a wasteful number, since it uses less digits than its factorization.

84006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84006720 is about 9165.5179886354. The cubic root of 84006720 is about 437.9635923951.

Adding to 84006720 its reverse (2760048), we get a palindrome (86766768).

The spelling of 84006720 in words is "eighty-four million, six thousand, seven hundred twenty".