85092820 has 48 divisors (see below), whose sum is σ = 191056320. Its totient is φ = 31721984.

The previous prime is 85092817. The next prime is 85092823. The reversal of 85092820 is 2829058.

It is an interprime number because it is at equal distance from previous prime (85092817) and next prime (85092823).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85092823) 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, 35211 + ... + 37549.

It is an arithmetic number, because the mean of its divisors is an integer number (3980340).

Almost surely, 2^85092820 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 85092820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

85092820 is an abundant number, since it is smaller than the sum of its proper divisors (105963500).

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

85092820 is a wasteful number, since it uses less digits than its factorization.

85092820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 85092820 is about 9224.5769550695. The cubic root of 85092820 is about 439.8429535950.

The spelling of 85092820 in words is "eighty-five million, ninety-two thousand, eight hundred twenty".