906260880 has 320 divisors, whose sum is σ = 3339072000. Its totient is φ = 203212800.

The previous prime is 906260813. The next prime is 906260911. The reversal of 906260880 is 88062609.

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 63 ways as a sum of consecutive naturals, for example, 8314266 + ... + 8314374.

It is an arithmetic number, because the mean of its divisors is an integer number (10434600).

Almost surely, 2^906260880 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 906260880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669536000).

906260880 is an abundant number, since it is smaller than the sum of its proper divisors (2432811120).

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

906260880 is a wasteful number, since it uses less digits than its factorization.

906260880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 906260880 is about 30104.1671534025. The cubic root of 906260880 is about 967.7230327978.

The spelling of 906260880 in words is "nine hundred six million, two hundred sixty thousand, eight hundred eighty".