85400360 has 64 divisors (see below), whose sum is σ = 201398400. Its totient is φ = 32548096.

The previous prime is 85400327. The next prime is 85400369. The reversal of 85400360 is 6300458.

It is not an unprimeable number, because it can be changed into a prime (85400369) 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, 95837 + ... + 96723.

It is an arithmetic number, because the mean of its divisors is an integer number (3146850).

Almost surely, 2^85400360 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 85400360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

85400360 is an abundant number, since it is smaller than the sum of its proper divisors (115998040).

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

85400360 is a wasteful number, since it uses less digits than its factorization.

85400360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 85400360 is about 9241.2315196623. The cubic root of 85400360 is about 440.3722057153.

The spelling of 85400360 in words is "eighty-five million, four hundred thousand, three hundred sixty".