85714000 has 80 divisors (see below), whose sum is σ = 219535056. Its totient is φ = 32256000.

The previous prime is 85713989. The next prime is 85714001. The reversal of 85714000 is 41758.

It can be written as a sum of positive squares in 8 ways, for example, as 47224384 + 38489616 = 6872^2 + 6204^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85714001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32740 + ... + 35260.

Almost surely, 2^85714000 is an apocalyptic number.

85714000 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 85714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109767528).

85714000 is an abundant number, since it is smaller than the sum of its proper divisors (133821056).

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

85714000 is a wasteful number, since it uses less digits than its factorization.

85714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 85714000 is about 9258.1855673777. The cubic root of 85714000 is about 440.9106484066.

Adding to 85714000 its reverse (41758), we get a palindrome (85755758).

The spelling of 85714000 in words is "eighty-five million, seven hundred fourteen thousand".