85082380 has 96 divisors (see below), whose sum is σ = 198696960. Its totient is φ = 30481920.

The previous prime is 85082377. The next prime is 85082381. The reversal of 85082380 is 8328058.

It is a happy number.

It is a super-2 number, since 2×85082380² = 14478022772928800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85082381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669877 + ... + 670003.

It is an arithmetic number, because the mean of its divisors is an integer number (2069760).

Almost surely, 2^85082380 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 85082380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99348480).

85082380 is an abundant number, since it is smaller than the sum of its proper divisors (113614580).

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

85082380 is a wasteful number, since it uses less digits than its factorization.

85082380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 85082380 is about 9224.0110581027. The cubic root of 85082380 is about 439.8249648142.

The spelling of 85082380 in words is "eighty-five million, eighty-two thousand, three hundred eighty".