906535800 has 288 divisors, whose sum is σ = 3298538880. Its totient is φ = 230947200.

The previous prime is 906535793. The next prime is 906535801. The reversal of 906535800 is 8535609.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906535801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1117395 + ... + 1118205.

It is an arithmetic number, because the mean of its divisors is an integer number (11453260).

Almost surely, 2^906535800 is an apocalyptic number.

906535800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906535800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649269440).

906535800 is an abundant number, since it is smaller than the sum of its proper divisors (2392003080).

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

906535800 is a wasteful number, since it uses less digits than its factorization.

906535800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 906535800 is about 30108.7329524176. The cubic root of 906535800 is about 967.8208778828.

The spelling of 906535800 in words is "nine hundred six million, five hundred thirty-five thousand, eight hundred".