920954880 has 192 divisors, whose sum is σ = 3274689600. Its totient is φ = 245514240.

The previous prime is 920954869. The next prime is 920954887. The reversal of 920954880 is 88459029.

920954880 is a `hidden beast` number, since 9 + 20 + 9 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (920954887) 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 15 ways as a sum of consecutive naturals, for example, 274815 + ... + 278145.

It is an arithmetic number, because the mean of its divisors is an integer number (17055675).

Almost surely, 2^920954880 is an apocalyptic number.

920954880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637344800).

920954880 is an abundant number, since it is smaller than the sum of its proper divisors (2353734720).

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

920954880 is a wasteful number, since it uses less digits than its factorization.

920954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 920954880 is about 30347.2384246079. The cubic root of 920954880 is about 972.9251974139.

The spelling of 920954880 in words is "nine hundred twenty million, nine hundred fifty-four thousand, eight hundred eighty".