85714400 has 72 divisors (see below), whose sum is σ = 210533400. Its totient is φ = 34076160.

The previous prime is 85714397. The next prime is 85714403. The reversal of 85714400 is 441758.

It is an interprime number because it is at equal distance from previous prime (85714397) and next prime (85714403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85714403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245426 + ... + 245774.

It is an arithmetic number, because the mean of its divisors is an integer number (2924075).

Almost surely, 2^85714400 is an apocalyptic number.

85714400 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 85714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105266700).

85714400 is an abundant number, since it is smaller than the sum of its proper divisors (124819000).

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

85714400 is a wasteful number, since it uses less digits than its factorization.

85714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 85714400 is about 9258.2071698575. The cubic root of 85714400 is about 440.9113342688.

The spelling of 85714400 in words is "eighty-five million, seven hundred fourteen thousand, four hundred".