906550398 has 96 divisors (see below), whose sum is σ = 2250454752. Its totient is φ = 261273600.

The previous prime is 906550397. The next prime is 906550409. The reversal of 906550398 is 893055609.

906550398 is a `hidden beast` number, since 9 + 0 + 6 + 550 + 3 + 98 = 666.

It is a super-2 number, since 2×906550398² = 1643667248227916808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906550397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117413 + ... + 1118223.

It is an arithmetic number, because the mean of its divisors is an integer number (23442237).

Almost surely, 2^906550398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906550398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125227376).

906550398 is an abundant number, since it is smaller than the sum of its proper divisors (1343904354).

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

906550398 is a wasteful number, since it uses less digits than its factorization.

906550398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 906550398 is about 30108.9753728020. The cubic root of 906550398 is about 967.8260728140.

The spelling of 906550398 in words is "nine hundred six million, five hundred fifty thousand, three hundred ninety-eight".