84295680 has 240 divisors, whose sum is σ = 314563200. Its totient is φ = 19267584.

The previous prime is 84295637. The next prime is 84295691. The reversal of 84295680 is 8659248.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 560 × 336 × 448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12042237 + ... + 12042243.

It is an arithmetic number, because the mean of its divisors is an integer number (1310680).

Almost surely, 2^84295680 is an apocalyptic number.

84295680 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 84295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157281600).

84295680 is an abundant number, since it is smaller than the sum of its proper divisors (230267520).

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

84295680 is an frugal number, since it uses more digits than its factorization.

84295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 84295680 is about 9181.2678862998. The cubic root of 84295680 is about 438.4651758109.

The spelling of 84295680 in words is "eighty-four million, two hundred ninety-five thousand, six hundred eighty".