906153768 has 48 divisors (see below), whose sum is σ = 2642951220. Its totient is φ = 278816256.

The previous prime is 906153739. The next prime is 906153797. The reversal of 906153768 is 867351609.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (906153739) and next prime (906153797).

It can be written as a sum of positive squares in 2 ways, for example, as 888159204 + 17994564 = 29802^2 + 4242^2 .

It is a super-2 number, since 2×906153768² = 1642229302521195648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483121 + ... + 484992.

Almost surely, 2^906153768 is an apocalyptic number.

It is an amenable number.

906153768 is an abundant number, since it is smaller than the sum of its proper divisors (1736797452).

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

906153768 is a wasteful number, since it uses less digits than its factorization.

906153768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968138 (or 968131 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 906153768 is about 30102.3880780246. The cubic root of 906153768 is about 967.6849058685.

The spelling of 906153768 in words is "nine hundred six million, one hundred fifty-three thousand, seven hundred sixty-eight".