85380420 has 48 divisors (see below), whose sum is σ = 240524928. Its totient is φ = 22629120.

The previous prime is 85380401. The next prime is 85380461. The reversal of 85380420 is 2408358.

It is a super-2 number, since 2×85380420² = 14579632238752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5760 + ... + 14280.

It is an arithmetic number, because the mean of its divisors is an integer number (5010936).

Almost surely, 2^85380420 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 85380420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120262464).

85380420 is an abundant number, since it is smaller than the sum of its proper divisors (155144508).

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

85380420 is a wasteful number, since it uses less digits than its factorization.

85380420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8700 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85380420 is about 9240.1525961426. The cubic root of 85380420 is about 440.3379291022.

Adding to 85380420 its reverse (2408358), we get a palindrome (87788778).

The spelling of 85380420 in words is "eighty-five million, three hundred eighty thousand, four hundred twenty".