85162000 has 240 divisors, whose sum is σ = 264625920. Its totient is φ = 26208000.

The previous prime is 85161953. The next prime is 85162003. The reversal of 85162000 is 26158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (85162003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077961 + ... + 1078039.

It is an arithmetic number, because the mean of its divisors is an integer number (1102608).

Almost surely, 2^85162000 is an apocalyptic number.

85162000 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 85162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

85162000 is an abundant number, since it is smaller than the sum of its proper divisors (179463920).

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

85162000 is a wasteful number, since it uses less digits than its factorization.

85162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 85162000 is about 9228.3259586991. The cubic root of 85162000 is about 439.9621179507.

Adding to 85162000 its reverse (26158), we get a palindrome (85188158).

The spelling of 85162000 in words is "eighty-five million, one hundred sixty-two thousand".