84715488 has 288 divisors, whose sum is σ = 302152032. Its totient is φ = 22302720.

The previous prime is 84715483. The next prime is 84715493. The reversal of 84715488 is 88451748.

It is an interprime number because it is at equal distance from previous prime (84715483) and next prime (84715493).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84715483) 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, 4983256 + ... + 4983272.

It is an arithmetic number, because the mean of its divisors is an integer number (1049139).

Almost surely, 2^84715488 is an apocalyptic number.

84715488 is a gapful number since it is divisible by the number (88) 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 84715488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151076016).

84715488 is an abundant number, since it is smaller than the sum of its proper divisors (217436544).

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

84715488 is a wasteful number, since it uses less digits than its factorization.

84715488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 84715488 is about 9204.1016943534. The cubic root of 84715488 is about 439.1918499090.

The spelling of 84715488 in words is "eighty-four million, seven hundred fifteen thousand, four hundred eighty-eight".