84716688 has 120 divisors (see below), whose sum is σ = 257275200. Its totient is φ = 23950080.

The previous prime is 84716683. The next prime is 84716693. The reversal of 84716688 is 88661748.

It is an interprime number because it is at equal distance from previous prime (84716683) and next prime (84716693).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84716683) 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, 425613 + ... + 425811.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 2^84716688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84716688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128637600).

84716688 is an abundant number, since it is smaller than the sum of its proper divisors (172558512).

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

84716688 is a wasteful number, since it uses less digits than its factorization.

84716688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 84716688 is about 9204.1668824506. The cubic root of 84716688 is about 439.1939236255.

The spelling of 84716688 in words is "eighty-four million, seven hundred sixteen thousand, six hundred eighty-eight".