85029940 has 36 divisors (see below), whose sum is σ = 188471556. Its totient is φ = 32219136.

The previous prime is 85029881. The next prime is 85029947. The reversal of 85029940 is 4992058.

It can be written as a sum of positive squares in 2 ways, for example, as 45239076 + 39790864 = 6726^2 + 6308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85029940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85029947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1332 + ... + 13108.

It is an arithmetic number, because the mean of its divisors is an integer number (5235321).

Almost surely, 2^85029940 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 85029940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94235778).

85029940 is an abundant number, since it is smaller than the sum of its proper divisors (103441616).

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

85029940 is a wasteful number, since it uses less digits than its factorization.

85029940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11824 (or 11803 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 85029940 is about 9221.1680388116. The cubic root of 85029940 is about 439.7345851088.

The spelling of 85029940 in words is "eighty-five million, twenty-nine thousand, nine hundred forty".