84413280 has 288 divisors, whose sum is σ = 320949216. Its totient is φ = 18579456.

The previous prime is 84413267. The next prime is 84413281. The reversal of 84413280 is 8231448.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84413281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870192 + ... + 870288.

It is an arithmetic number, because the mean of its divisors is an integer number (1114407).

Almost surely, 2^84413280 is an apocalyptic number.

84413280 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 84413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160474608).

84413280 is an abundant number, since it is smaller than the sum of its proper divisors (236535936).

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

84413280 is a wasteful number, since it uses less digits than its factorization.

84413280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 84413280 is about 9187.6699984272. The cubic root of 84413280 is about 438.6689804214.

The spelling of 84413280 in words is "eighty-four million, four hundred thirteen thousand, two hundred eighty".