85756950 has 72 divisors (see below), whose sum is σ = 232128000. Its totient is φ = 22697280.

The previous prime is 85756939. The next prime is 85756961. The reversal of 85756950 is 5965758.

85756950 is a `hidden beast` number, since 85 + 7 + 569 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85756939) and next prime (85756961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 85756896 and 85756905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66411 + ... + 67689.

It is an arithmetic number, because the mean of its divisors is an integer number (3224000).

Almost surely, 2^85756950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85756950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064000).

85756950 is an abundant number, since it is smaller than the sum of its proper divisors (146371050).

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

85756950 is a wasteful number, since it uses less digits than its factorization.

85756950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 85756950 is about 9260.5048458494. The cubic root of 85756950 is about 440.9842806805.

The spelling of 85756950 in words is "eighty-five million, seven hundred fifty-six thousand, nine hundred fifty".