85889468 has 48 divisors (see below), whose sum is σ = 180762624. Its totient is φ = 34931520.

The previous prime is 85889459. The next prime is 85889477. The reversal of 85889468 is 86498858.

It is an interprime number because it is at equal distance from previous prime (85889459) and next prime (85889477).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45071 + ... + 46937.

It is an arithmetic number, because the mean of its divisors is an integer number (3765888).

Almost surely, 2^85889468 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 85889468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90381312).

85889468 is an abundant number, since it is smaller than the sum of its proper divisors (94873156).

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

85889468 is a wasteful number, since it uses less digits than its factorization.

85889468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1960 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 56.

The square root of 85889468 is about 9267.6570933543. The cubic root of 85889468 is about 441.2113109859.

The spelling of 85889468 in words is "eighty-five million, eight hundred eighty-nine thousand, four hundred sixty-eight".