84213760 has 68 divisors (see below), whose sum is σ = 202897908. Its totient is φ = 33554432.

The previous prime is 84213721. The next prime is 84213761. The reversal of 84213760 is 6731248.

It can be written as a sum of positive squares in 2 ways, for example, as 62980096 + 21233664 = 7936^2 + 4608^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84213761) by changing a digit.

In principle, a polygon with 84213760 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327552 + ... + 327808.

Almost surely, 2^84213760 is an apocalyptic number.

84213760 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 84213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101448954).

84213760 is an abundant number, since it is smaller than the sum of its proper divisors (118684148).

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

84213760 is an frugal number, since it uses more digits than its factorization.

84213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 84213760 is about 9176.8055444147. The cubic root of 84213760 is about 438.3230937608.

The spelling of 84213760 in words is "eighty-four million, two hundred thirteen thousand, seven hundred sixty".