84588480 has 168 divisors, whose sum is σ = 303836832. Its totient is φ = 21559296.

The previous prime is 84588473. The next prime is 84588487. The reversal of 84588480 is 8488548.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84588473) and next prime (84588487).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (84588487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65602 + ... + 66878.

Almost surely, 2^84588480 is an apocalyptic number.

84588480 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 84588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151918416).

84588480 is an abundant number, since it is smaller than the sum of its proper divisors (219248352).

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

84588480 is a wasteful number, since it uses less digits than its factorization.

84588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 84588480 is about 9197.1995737833. The cubic root of 84588480 is about 438.9722569351.

The spelling of 84588480 in words is "eighty-four million, five hundred eighty-eight thousand, four hundred eighty".