85257630 has 64 divisors (see below), whose sum is σ = 228271680. Its totient is φ = 22643712.

The previous prime is 85257611. The next prime is 85257631. The reversal of 85257630 is 3675258.

85257630 is a `hidden beast` number, since 8 + 52 + 576 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85257631) 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, 90522 + ... + 91458.

It is an arithmetic number, because the mean of its divisors is an integer number (3566745).

Almost surely, 2^85257630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85257630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114135840).

85257630 is an abundant number, since it is smaller than the sum of its proper divisors (143014050).

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

85257630 is a wasteful number, since it uses less digits than its factorization.

85257630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85257630 is about 9233.5058347304. The cubic root of 85257630 is about 440.1267369074.

The spelling of 85257630 in words is "eighty-five million, two hundred fifty-seven thousand, six hundred thirty".