85790040 has 256 divisors, whose sum is σ = 313528320. Its totient is φ = 18370560.

The previous prime is 85790021. The next prime is 85790057. The reversal of 85790040 is 4009758.

It is a junction number, because it is equal to n+sod(n) for n = 85789983 and 85790010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1618654 + ... + 1618706.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^85790040 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 85790040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

85790040 is an abundant number, since it is smaller than the sum of its proper divisors (227738280).

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

85790040 is a wasteful number, since it uses less digits than its factorization.

85790040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 85790040 is about 9262.2912931952. The cubic root of 85790040 is about 441.0409924822.

Adding to 85790040 its reverse (4009758), we get a palindrome (89799798).

The spelling of 85790040 in words is "eighty-five million, seven hundred ninety thousand, forty".