920982348 has 288 divisors, whose sum is σ = 2935296000. Its totient is φ = 239500800.

The previous prime is 920982341. The next prime is 920982367. The reversal of 920982348 is 843289029.

920982348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (920982341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4627953 + ... + 4628151.

It is an arithmetic number, because the mean of its divisors is an integer number (10192000).

Almost surely, 2^920982348 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 920982348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648000).

920982348 is an abundant number, since it is smaller than the sum of its proper divisors (2014313652).

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

920982348 is a wasteful number, since it uses less digits than its factorization.

920982348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 920982348 is about 30347.6909830056. The cubic root of 920982348 is about 972.9348699991.

The spelling of 920982348 in words is "nine hundred twenty million, nine hundred eighty-two thousand, three hundred forty-eight".