85157268 has 48 divisors (see below), whose sum is σ = 230490624. Its totient is φ = 23965920.

The previous prime is 85157251. The next prime is 85157269. The reversal of 85157268 is 86275158.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85157269) 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, 1938 + ... + 13193.

It is an arithmetic number, because the mean of its divisors is an integer number (4801888).

Almost surely, 2^85157268 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 85157268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115245312).

85157268 is an abundant number, since it is smaller than the sum of its proper divisors (145333356).

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

85157268 is a wasteful number, since it uses less digits than its factorization.

85157268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15212 (or 15210 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 85157268 is about 9228.0695706090. The cubic root of 85157268 is about 439.9539690138.

The spelling of 85157268 in words is "eighty-five million, one hundred fifty-seven thousand, two hundred sixty-eight".