84665280 has 224 divisors, whose sum is σ = 315431424. Its totient is φ = 18837504.

The previous prime is 84665267. The next prime is 84665293. The reversal of 84665280 is 8256648.

It is an interprime number because it is at equal distance from previous prime (84665267) and next prime (84665293).

It is a tau number, because it is divible by the number of its divisors (224).

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, 288814 + ... + 289106.

It is an arithmetic number, because the mean of its divisors is an integer number (1408176).

Almost surely, 2^84665280 is an apocalyptic number.

84665280 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 84665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157715712).

84665280 is an abundant number, since it is smaller than the sum of its proper divisors (230766144).

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

84665280 is a wasteful number, since it uses less digits than its factorization.

84665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 84665280 is about 9201.3738104698. The cubic root of 84665280 is about 439.1050680519.

The spelling of 84665280 in words is "eighty-four million, six hundred sixty-five thousand, two hundred eighty".