85957400 has 48 divisors (see below), whose sum is σ = 201735600. Its totient is φ = 34058880.

The previous prime is 85957397. The next prime is 85957439. The reversal of 85957400 is 475958.

It is a super-3 number, since 3×85957400³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19829 + ... + 23771.

It is an arithmetic number, because the mean of its divisors is an integer number (4202825).

Almost surely, 2^85957400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85957400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100867800).

85957400 is an abundant number, since it is smaller than the sum of its proper divisors (115778200).

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

85957400 is a wasteful number, since it uses less digits than its factorization.

85957400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 85957400 is about 9271.3213729220. The cubic root of 85957400 is about 441.3276017993.

The spelling of 85957400 in words is "eighty-five million, nine hundred fifty-seven thousand, four hundred".