8033085400 has 48 divisors (see below), whose sum is σ = 18719672400. Its totient is φ = 3205879680.

The previous prime is 8033085371. The next prime is 8033085419. The reversal of 8033085400 is 45803308.

It is a super-2 number, since 2×8033085400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42054 + ... + 133546.

It is an arithmetic number, because the mean of its divisors is an integer number (389993175).

Almost surely, 2^8033085400 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 8033085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359836200).

8033085400 is an abundant number, since it is smaller than the sum of its proper divisors (10686587000).

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

8033085400 is a wasteful number, since it uses less digits than its factorization.

8033085400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91948 (or 91939 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 8033085400 is about 89627.4812766709. The cubic root of 8033085400 is about 2002.7533245293.

Adding to 8033085400 its reverse (45803308), we get a palindrome (8078888708).

The spelling of 8033085400 in words is "eight billion, thirty-three million, eighty-five thousand, four hundred".