906533040 has 320 divisors, whose sum is σ = 3471206400. Its totient is φ = 191127552.

The previous prime is 906533027. The next prime is 906533057. The reversal of 906533040 is 40335609.

It is a happy number.

It is a super-2 number, since 2×906533040² = 1643604305223283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 906532989 and 906533007.

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 63 ways as a sum of consecutive naturals, for example, 1120156 + ... + 1120964.

It is an arithmetic number, because the mean of its divisors is an integer number (10847520).

Almost surely, 2^906533040 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 906533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735603200).

906533040 is an abundant number, since it is smaller than the sum of its proper divisors (2564673360).

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

906533040 is a wasteful number, since it uses less digits than its factorization.

906533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 906533040 is about 30108.6871185045. The cubic root of 906533040 is about 967.8198956865.

Adding to 906533040 its reverse (40335609), we get a palindrome (946868649).

The spelling of 906533040 in words is "nine hundred six million, five hundred thirty-three thousand, forty".