85442000 has 160 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 27494400.

The previous prime is 85441997. The next prime is 85442003. The reversal of 85442000 is 24458.

It is an interprime number because it is at equal distance from previous prime (85441997) and next prime (85442003).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85442003) 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, 237821 + ... + 238179.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 2^85442000 is an apocalyptic number.

85442000 is a gapful number since it is divisible by the number (80) 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 85442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

85442000 is an abundant number, since it is smaller than the sum of its proper divisors (165256240).

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

85442000 is a wasteful number, since it uses less digits than its factorization.

85442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 85442000 is about 9243.4841915806. The cubic root of 85442000 is about 440.4437671590.

Adding to 85442000 its reverse (24458), we get a palindrome (85466458).

The spelling of 85442000 in words is "eighty-five million, four hundred forty-two thousand".