85182420 has 96 divisors (see below), whose sum is σ = 252435456. Its totient is φ = 21427200.

The previous prime is 85182407. The next prime is 85182421. The reversal of 85182420 is 2428158.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85182421) 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, 75702 + ... + 76818.

It is an arithmetic number, because the mean of its divisors is an integer number (2629536).

Almost surely, 2^85182420 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 85182420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126217728).

85182420 is an abundant number, since it is smaller than the sum of its proper divisors (167253036).

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

85182420 is a wasteful number, since it uses less digits than its factorization.

85182420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 85182420 is about 9229.4322685634. The cubic root of 85182420 is about 439.9972795975.

The spelling of 85182420 in words is "eighty-five million, one hundred eighty-two thousand, four hundred twenty".