920887040 has 72 divisors (see below), whose sum is σ = 2237100768. Its totient is φ = 363130880.

The previous prime is 920887021. The next prime is 920887063. The reversal of 920887040 is 40788029.

920887040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 920886985 and 920887003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85814 + ... + 95946.

It is an arithmetic number, because the mean of its divisors is an integer number (31070844).

Almost surely, 2^920887040 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 920887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118550384).

920887040 is an abundant number, since it is smaller than the sum of its proper divisors (1316213728).

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

920887040 is a wasteful number, since it uses less digits than its factorization.

920887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10225 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 920887040 is about 30346.1206746431. The cubic root of 920887040 is about 972.9013074031.

The spelling of 920887040 in words is "nine hundred twenty million, eight hundred eighty-seven thousand, forty".