85487688 has 288 divisors, whose sum is σ = 299557440. Its totient is φ = 21669120.

The previous prime is 85487683. The next prime is 85487693. The reversal of 85487688 is 88678458.

85487688 is a `hidden beast` number, since 85 + 487 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (85487683) and next prime (85487693).

It is not an unprimeable number, because it can be changed into a prime (85487681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3716845 + ... + 3716867.

It is an arithmetic number, because the mean of its divisors is an integer number (1040130).

Almost surely, 2^85487688 is an apocalyptic number.

85487688 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 85487688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

85487688 is an abundant number, since it is smaller than the sum of its proper divisors (214069752).

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

85487688 is a wasteful number, since it uses less digits than its factorization.

85487688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 85487688 is about 9245.9552237722. The cubic root of 85487688 is about 440.5222586469.

The spelling of 85487688 in words is "eighty-five million, four hundred eighty-seven thousand, six hundred eighty-eight".