85419360 has 288 divisors, whose sum is σ = 327468960. Its totient is φ = 21026304.

The previous prime is 85419349. The next prime is 85419361. The reversal of 85419360 is 6391458.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85419361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6570714 + ... + 6570726.

It is an arithmetic number, because the mean of its divisors is an integer number (1137045).

Almost surely, 2^85419360 is an apocalyptic number.

85419360 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 85419360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163734480).

85419360 is an abundant number, since it is smaller than the sum of its proper divisors (242049600).

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

85419360 is an equidigital number, since it uses as much as digits as its factorization.

85419360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85419360 is about 9242.2594640055. The cubic root of 85419360 is about 440.4048615163.

The spelling of 85419360 in words is "eighty-five million, four hundred nineteen thousand, three hundred sixty".