84217280 has 168 divisors, whose sum is σ = 240798096. Its totient is φ = 27955200.

The previous prime is 84217241. The next prime is 84217307. The reversal of 84217280 is 8271248.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642815 + ... + 642945.

It is an arithmetic number, because the mean of its divisors is an integer number (1433322).

Almost surely, 2^84217280 is an apocalyptic number.

84217280 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 84217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120399048).

84217280 is an abundant number, since it is smaller than the sum of its proper divisors (156580816).

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

84217280 is a wasteful number, since it uses less digits than its factorization.

84217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 84217280 is about 9176.9973302818. The cubic root of 84217280 is about 438.3292007430.

The spelling of 84217280 in words is "eighty-four million, two hundred seventeen thousand, two hundred eighty".