920619260928 has 440 divisors, whose sum is σ = 2937369670400. Its totient is φ = 286349893632.

The previous prime is 920619260921. The next prime is 920619260959. The reversal of 920619260928 is 829062916029.

It is a happy number.

920619260928 is a `hidden beast` number, since 9 + 2 + 0 + 6 + 1 + 9 + 2 + 609 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920619260921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105583353 + ... + 105592071.

It is an arithmetic number, because the mean of its divisors is an integer number (6675840160).

Almost surely, 2^920619260928 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 920619260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468684835200).

920619260928 is an abundant number, since it is smaller than the sum of its proper divisors (2016750409472).

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

920619260928 is a wasteful number, since it uses less digits than its factorization.

920619260928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8837 (or 8810 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 920619260928 in words is "nine hundred twenty billion, six hundred nineteen million, two hundred sixty thousand, nine hundred twenty-eight".