906784416 has 48 divisors (see below), whose sum is σ = 2644790400. Its totient is φ = 302261184.

The previous prime is 906784399. The next prime is 906784451. The reversal of 906784416 is 614487609.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×906784416² = 1644515954200922112, 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 7 ways as a sum of consecutive naturals, for example, 523896 + ... + 525623.

It is an arithmetic number, because the mean of its divisors is an integer number (55099800).

Almost surely, 2^906784416 is an apocalyptic number.

906784416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

906784416 is an abundant number, since it is smaller than the sum of its proper divisors (1738005984).

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

906784416 is a wasteful number, since it uses less digits than its factorization.

906784416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049538 (or 1049524 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 906784416 is about 30112.8613054289. The cubic root of 906784416 is about 967.9093442410.

The spelling of 906784416 in words is "nine hundred six million, seven hundred eighty-four thousand, four hundred sixteen".