85627080 has 192 divisors, whose sum is σ = 347068800. Its totient is φ = 17786880.

The previous prime is 85627067. The next prime is 85627099. The reversal of 85627080 is 8072658.

85627080 = T₁₇₃₇ + T₁₇₃₈ + ... + T₁₇₉₁.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26176 + ... + 29264.

It is an arithmetic number, because the mean of its divisors is an integer number (1807650).

Almost surely, 2^85627080 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 85627080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173534400).

85627080 is an abundant number, since it is smaller than the sum of its proper divisors (261441720).

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

85627080 is a wasteful number, since it uses less digits than its factorization.

85627080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85627080 is about 9253.4901523695. The cubic root of 85627080 is about 440.7615599058.

The spelling of 85627080 in words is "eighty-five million, six hundred twenty-seven thousand, eighty".