84560784 has 160 divisors (see below), whose sum is σ = 275982336. Its totient is φ = 21672960.

The previous prime is 84560779. The next prime is 84560803. The reversal of 84560784 is 48706548.

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

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, 506269 + ... + 506435.

Almost surely, 2^84560784 is an apocalyptic number.

84560784 is a gapful number since it is divisible by the number (84) 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 84560784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137991168).

84560784 is an abundant number, since it is smaller than the sum of its proper divisors (191421552).

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

84560784 is a wasteful number, since it uses less digits than its factorization.

84560784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 84560784 is about 9195.6937748057. The cubic root of 84560784 is about 438.9243422042.

The spelling of 84560784 in words is "eighty-four million, five hundred sixty thousand, seven hundred eighty-four".