906895080 has 768 divisors, whose sum is σ = 4025548800. Its totient is φ = 171694080.

The previous prime is 906895051. The next prime is 906895109. The reversal of 906895080 is 80598609.

906895080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (906895051) and next prime (906895109).

It is a super-2 number, since 2×906895080² = 1644917372256412800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19295617 + ... + 19295663.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2^906895080 is an apocalyptic number.

906895080 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 906895080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012774400).

906895080 is an abundant number, since it is smaller than the sum of its proper divisors (3118653720).

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

906895080 is a wasteful number, since it uses less digits than its factorization.

906895080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 906895080 is about 30114.6987366635. The cubic root of 906895080 is about 967.9487172021.

The spelling of 906895080 in words is "nine hundred six million, eight hundred ninety-five thousand, eighty".