85140000 has 360 divisors, whose sum is σ = 337729392. Its totient is φ = 20160000.

The previous prime is 85139993. The next prime is 85140019. The reversal of 85140000 is 4158.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1979979 + ... + 1980021.

Almost surely, 2^85140000 is an apocalyptic number.

85140000 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 85140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168864696).

85140000 is an abundant number, since it is smaller than the sum of its proper divisors (252589392).

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

85140000 is a wasteful number, since it uses less digits than its factorization.

85140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85140000 is about 9227.1338995378. The cubic root of 85140000 is about 439.9242293768.

Adding to 85140000 its reverse (4158), we get a palindrome (85144158).

The spelling of 85140000 in words is "eighty-five million, one hundred forty thousand".