920980040 has 64 divisors (see below), whose sum is σ = 2122848000. Its totient is φ = 359438848.

The previous prime is 920980033. The next prime is 920980051. The reversal of 920980040 is 40089029.

It is a junction number, because it is equal to n+sod(n) for n = 920979979 and 920980006.

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 15 ways as a sum of consecutive naturals, for example, 877436 + ... + 878484.

It is an arithmetic number, because the mean of its divisors is an integer number (33169500).

Almost surely, 2^920980040 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 920980040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424000).

920980040 is an abundant number, since it is smaller than the sum of its proper divisors (1201867960).

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

920980040 is a wasteful number, since it uses less digits than its factorization.

920980040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 920980040 is about 30347.6529570245. The cubic root of 920980040 is about 972.9340572671.

The spelling of 920980040 in words is "nine hundred twenty million, nine hundred eighty thousand, forty".