85881642 has 64 divisors (see below), whose sum is σ = 215405568. Its totient is φ = 22176000.

The previous prime is 85881629. The next prime is 85881647. The reversal of 85881642 is 24618858.

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

It is a junction number, because it is equal to n+sod(n) for n = 85881594 and 85881603.

It is not an unprimeable number, because it can be changed into a prime (85881647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97042 + ... + 97922.

It is an arithmetic number, because the mean of its divisors is an integer number (3365712).

Almost surely, 2^85881642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85881642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107702784).

85881642 is an abundant number, since it is smaller than the sum of its proper divisors (129523926).

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

85881642 is a wasteful number, since it uses less digits than its factorization.

85881642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115.

The product of its digits is 122880, while the sum is 42.

The square root of 85881642 is about 9267.2348626761. The cubic root of 85881642 is about 441.1979099458.

It can be divided in two parts, 858816 and 42, that added together give a palindrome (858858).

The spelling of 85881642 in words is "eighty-five million, eight hundred eighty-one thousand, six hundred forty-two".