85088430 has 96 divisors (see below), whose sum is σ = 255011328. Its totient is φ = 19281600.

The previous prime is 85088413. The next prime is 85088447. The reversal of 85088430 is 3488058.

It is an interprime number because it is at equal distance from previous prime (85088413) and next prime (85088447).

It is a Curzon number.

It is a congruent 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, 82015 + ... + 83045.

It is an arithmetic number, because the mean of its divisors is an integer number (2656368).

Almost surely, 2^85088430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85088430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127505664).

85088430 is an abundant number, since it is smaller than the sum of its proper divisors (169922898).

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

85088430 is a wasteful number, since it uses less digits than its factorization.

85088430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85088430 is about 9224.3390007089. The cubic root of 85088430 is about 439.8353895264.

The spelling of 85088430 in words is "eighty-five million, eighty-eight thousand, four hundred thirty".