85304088 has 96 divisors (see below), whose sum is σ = 240926400. Its totient is φ = 27244224.

The previous prime is 85304057. The next prime is 85304099. The reversal of 85304088 is 88040358.

85304088 is a `hidden beast` number, since 8 + 530 + 40 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 182431 + ... + 182897.

It is an arithmetic number, because the mean of its divisors is an integer number (2509650).

Almost surely, 2^85304088 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 85304088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120463200).

85304088 is an abundant number, since it is smaller than the sum of its proper divisors (155622312).

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

85304088 is a wasteful number, since it uses less digits than its factorization.

85304088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85304088 is about 9236.0212212835. The cubic root of 85304088 is about 440.2066660001.

The spelling of 85304088 in words is "eighty-five million, three hundred four thousand, eighty-eight".