85886472 has 128 divisors (see below), whose sum is σ = 258935040. Its totient is φ = 23224320.

The previous prime is 85886467. The next prime is 85886483. The reversal of 85886472 is 27468858.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254688 + ... + 255024.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 2^85886472 is an apocalyptic number.

85886472 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85886472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129467520).

85886472 is an abundant number, since it is smaller than the sum of its proper divisors (173048568).

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

85886472 is a wasteful number, since it uses less digits than its factorization.

85886472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 85886472 is about 9267.4954545443. The cubic root of 85886472 is about 441.2061808091.

The spelling of 85886472 in words is "eighty-five million, eight hundred eighty-six thousand, four hundred seventy-two".