85906350 has 72 divisors (see below), whose sum is σ = 231886200. Its totient is φ = 22800960.

The previous prime is 85906349. The next prime is 85906351. The reversal of 85906350 is 5360958.

85906350 is a `hidden beast` number, since 8 + 590 + 63 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85906349) and next prime (85906351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85906351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156777 + ... + 157323.

Almost surely, 2^85906350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85906350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115943100).

85906350 is an abundant number, since it is smaller than the sum of its proper divisors (145979850).

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

85906350 is a wasteful number, since it uses less digits than its factorization.

85906350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 85906350 is about 9268.5678505366. The cubic root of 85906350 is about 441.2402165143.

The spelling of 85906350 in words is "eighty-five million, nine hundred six thousand, three hundred fifty".