906554880 has 720 divisors, whose sum is σ = 4038853104. Its totient is φ = 185794560.

The previous prime is 906554863. The next prime is 906554881. The reversal of 906554880 is 88455609.

906554880 is a `hidden beast` number, since 90 + 6 + 554 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906554881) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12418524 + ... + 12418596.

Almost surely, 2^906554880 is an apocalyptic number.

906554880 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 906554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019426552).

906554880 is an abundant number, since it is smaller than the sum of its proper divisors (3132298224).

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

906554880 is a wasteful number, since it uses less digits than its factorization.

906554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 906554880 is about 30109.0498023435. The cubic root of 906554880 is about 967.8276677940.

The spelling of 906554880 in words is "nine hundred six million, five hundred fifty-four thousand, eight hundred eighty".