906785280 has 200 divisors, whose sum is σ = 3248561052. Its totient is φ = 241754112.

The previous prime is 906785263. The next prime is 906785293. The reversal of 906785280 is 82587609.

It can be written as a sum of positive squares in 2 ways, for example, as 905769216 + 1016064 = 30096^2 + 1008^2 .

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 19 ways as a sum of consecutive naturals, for example, 205174 + ... + 209546.

Almost surely, 2^906785280 is an apocalyptic number.

906785280 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 906785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624280526).

906785280 is an abundant number, since it is smaller than the sum of its proper divisors (2341775772).

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

906785280 is an equidigital number, since it uses as much as digits as its factorization.

906785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 906785280 is about 30112.8756514551. The cubic root of 906785280 is about 967.9096516546.

The spelling of 906785280 in words is "nine hundred six million, seven hundred eighty-five thousand, two hundred eighty".