85957308 has 48 divisors (see below), whose sum is σ = 227072160. Its totient is φ = 28109952.

The previous prime is 85957307. The next prime is 85957309. The reversal of 85957308 is 80375958.

It is an interprime number because it is at equal distance from previous prime (85957307) and next prime (85957309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85957307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785 + ... + 13232.

It is an arithmetic number, because the mean of its divisors is an integer number (4730670).

Almost surely, 2^85957308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85957308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113536080).

85957308 is an abundant number, since it is smaller than the sum of its proper divisors (141114852).

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

85957308 is a wasteful number, since it uses less digits than its factorization.

85957308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15083 (or 15075 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 85957308 is about 9271.3164113841. The cubic root of 85957308 is about 441.3274443486.

The spelling of 85957308 in words is "eighty-five million, nine hundred fifty-seven thousand, three hundred eight".