906208416 has 72 divisors (see below), whose sum is σ = 2625697620. Its totient is φ = 296365056.

The previous prime is 906208411. The next prime is 906208417. The reversal of 906208416 is 614802609.

It can be written as a sum of positive squares in 2 ways, for example, as 876396816 + 29811600 = 29604^2 + 5460^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (906208411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14421 + ... + 44948.

Almost surely, 2^906208416 is an apocalyptic number.

906208416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

906208416 is an abundant number, since it is smaller than the sum of its proper divisors (1719489204).

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

906208416 is a wasteful number, since it uses less digits than its factorization.

906208416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59438 (or 59427 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 906208416 is about 30103.2957664107. The cubic root of 906208416 is about 967.7043584102.

The spelling of 906208416 in words is "nine hundred six million, two hundred eight thousand, four hundred sixteen".