906456096 has 504 divisors, whose sum is σ = 3406867884. Its totient is φ = 235146240.

The previous prime is 906456071. The next prime is 906456097. The reversal of 906456096 is 690654609.

It can be written as a sum of positive squares in 2 ways, for example, as 700131600 + 206324496 = 26460^2 + 14364^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×906456096² = 1643325307951122432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (906456097) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14859906 + ... + 14859966.

Almost surely, 2^906456096 is an apocalyptic number.

906456096 is a gapful number since it is divisible by the number (96) 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 906456096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703433942).

906456096 is an abundant number, since it is smaller than the sum of its proper divisors (2500411788).

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

906456096 is a wasteful number, since it uses less digits than its factorization.

906456096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 906456096 is about 30107.4093206307. The cubic root of 906456096 is about 967.7925129592.

The spelling of 906456096 in words is "nine hundred six million, four hundred fifty-six thousand, ninety-six".