84678480 has 160 divisors (see below), whose sum is σ = 294624000. Its totient is φ = 22353408.

The previous prime is 84678469. The next prime is 84678487. The reversal of 84678480 is 8487648.

It is a super-2 number, since 2×84678480² = 14340889950220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84678487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425421 + ... + 425619.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 2^84678480 is an apocalyptic number.

84678480 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 84678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312000).

84678480 is an abundant number, since it is smaller than the sum of its proper divisors (209945520).

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

84678480 is a wasteful number, since it uses less digits than its factorization.

84678480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 84678480 is about 9202.0910667087. The cubic root of 84678480 is about 439.1278868733.

It can be divided in two parts, 84678 and 480, that added together give a palindrome (85158).

The spelling of 84678480 in words is "eighty-four million, six hundred seventy-eight thousand, four hundred eighty".