85763250 has 96 divisors (see below), whose sum is σ = 237129984. Its totient is φ = 22356000.

The previous prime is 85763239. The next prime is 85763263. The reversal of 85763250 is 5236758.

85763250 is a `hidden beast` number, since 8 + 576 + 32 + 50 = 666.

It is a Curzon number.

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, 105345 + ... + 106155.

It is an arithmetic number, because the mean of its divisors is an integer number (2470104).

Almost surely, 2^85763250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85763250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118564992).

85763250 is an abundant number, since it is smaller than the sum of its proper divisors (151366734).

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

85763250 is a wasteful number, since it uses less digits than its factorization.

85763250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 868 counting only the distinct ones).

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

The square root of 85763250 is about 9260.8449938437. The cubic root of 85763250 is about 440.9950791559.

The spelling of 85763250 in words is "eighty-five million, seven hundred sixty-three thousand, two hundred fifty".