906647280 has 320 divisors, whose sum is σ = 3558629376. Its totient is φ = 185472000.

The previous prime is 906647267. The next prime is 906647311. The reversal of 906647280 is 82746609.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1311735 + ... + 1312425.

Almost surely, 2^906647280 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 906647280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779314688).

906647280 is an abundant number, since it is smaller than the sum of its proper divisors (2651982096).

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

906647280 is a wasteful number, since it uses less digits than its factorization.

906647280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 906647280 is about 30110.5841856315. The cubic root of 906647280 is about 967.8605484062.

The spelling of 906647280 in words is "nine hundred six million, six hundred forty-seven thousand, two hundred eighty".