920994048 has 216 divisors, whose sum is σ = 2898314328. Its totient is φ = 279576576.

The previous prime is 920994013. The next prime is 920994073. The reversal of 920994048 is 840499029.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 911556864 = 3072^2 + 30192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 920993994 and 920994012.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2905186 + ... + 2905502.

Almost surely, 2^920994048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920994048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449157164).

920994048 is an abundant number, since it is smaller than the sum of its proper divisors (1977320280).

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

920994048 is a wasteful number, since it uses less digits than its factorization.

920994048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 920994048 is about 30347.8837482945. The cubic root of 920994048 is about 972.9389899803.

The spelling of 920994048 in words is "nine hundred twenty million, nine hundred ninety-four thousand, forty-eight".