85935400 has 24 divisors (see below), whose sum is σ = 199800270. Its totient is φ = 34374080.

The previous prime is 85935389. The next prime is 85935407. The reversal of 85935400 is 453958.

It can be written as a sum of positive squares in 3 ways, for example, as 31382404 + 54552996 = 5602^2 + 7386^2 .

It is not an unprimeable number, because it can be changed into a prime (85935407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214639 + ... + 215038.

Almost surely, 2^85935400 is an apocalyptic number.

It is an amenable number.

85935400 is an abundant number, since it is smaller than the sum of its proper divisors (113864870).

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

85935400 is a wasteful number, since it uses less digits than its factorization.

85935400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429693 (or 429684 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 85935400 is about 9270.1348426007. The cubic root of 85935400 is about 441.2899473500.

The spelling of 85935400 in words is "eighty-five million, nine hundred thirty-five thousand, four hundred".