906055680 has 104 divisors (see below), whose sum is σ = 2899220832. Its totient is φ = 241598464.

The previous prime is 906055669. The next prime is 906055687. The reversal of 906055680 is 86550609.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906055687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54067 + ... + 68813.

Almost surely, 2^906055680 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 906055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449610416).

906055680 is an abundant number, since it is smaller than the sum of its proper divisors (1993165152).

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

906055680 is a wasteful number, since it uses less digits than its factorization.

906055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14779 (or 14757 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 906055680 is about 30100.7587944224. The cubic root of 906055680 is about 967.6499884312.

The spelling of 906055680 in words is "nine hundred six million, fifty-five thousand, six hundred eighty".