85627680 has 192 divisors, whose sum is σ = 292118400. Its totient is φ = 21012480.

The previous prime is 85627651. The next prime is 85627681. The reversal of 85627680 is 8672658.

It is not an unprimeable number, because it can be changed into a prime (85627681) 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, 373806 + ... + 374034.

It is an arithmetic number, because the mean of its divisors is an integer number (1521450).

Almost surely, 2^85627680 is an apocalyptic number.

85627680 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 85627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

85627680 is an abundant number, since it is smaller than the sum of its proper divisors (206490720).

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

85627680 is a wasteful number, since it uses less digits than its factorization.

85627680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 85627680 is about 9253.5225725126. The cubic root of 85627680 is about 440.7625893945.

The spelling of 85627680 in words is "eighty-five million, six hundred twenty-seven thousand, six hundred eighty".