85582770 has 256 divisors, whose sum is σ = 278691840. Its totient is φ = 16321536.

The previous prime is 85582759. The next prime is 85582781. The reversal of 85582770 is 7728558.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85582759) and next prime (85582781).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1820887 + ... + 1820933.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^85582770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85582770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

85582770 is an abundant number, since it is smaller than the sum of its proper divisors (193109070).

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

85582770 is a wasteful number, since it uses less digits than its factorization.

85582770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129.

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 85582770 is about 9251.0956107912. The cubic root of 85582770 is about 440.6855188742.

The spelling of 85582770 in words is "eighty-five million, five hundred eighty-two thousand, seven hundred seventy".