85792420 has 48 divisors (see below), whose sum is σ = 208535040. Its totient is φ = 29038464.

The previous prime is 85792417. The next prime is 85792433. The reversal of 85792420 is 2429758.

It is a self number, because there is not a number n which added to its sum of digits gives 85792420.

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, 7182 + ... + 14938.

It is an arithmetic number, because the mean of its divisors is an integer number (4344480).

Almost surely, 2^85792420 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 85792420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104267520).

85792420 is an abundant number, since it is smaller than the sum of its proper divisors (122742620).

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

85792420 is a wasteful number, since it uses less digits than its factorization.

85792420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 85792420 is about 9262.4197702328. The cubic root of 85792420 is about 441.0450709193.

The spelling of 85792420 in words is "eighty-five million, seven hundred ninety-two thousand, four hundred twenty".