85177008 has 200 divisors, whose sum is σ = 289877280. Its totient is φ = 23639040.

The previous prime is 85176979. The next prime is 85177009. The reversal of 85177008 is 80077158.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85177009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371838 + ... + 372066.

Almost surely, 2^85177008 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 85177008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144938640).

85177008 is an abundant number, since it is smaller than the sum of its proper divisors (204700272).

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

85177008 is a wasteful number, since it uses less digits than its factorization.

85177008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 85177008 is about 9229.1390714411. The cubic root of 85177008 is about 439.9879611031.

The spelling of 85177008 in words is "eighty-five million, one hundred seventy-seven thousand, eight".