920745360 has 160 divisors (see below), whose sum is σ = 3281040000. Its totient is φ = 237049344.

The previous prime is 920745359. The next prime is 920745367. The reversal of 920745360 is 63547029.

920745360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (920745367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55291 + ... + 69989.

It is an arithmetic number, because the mean of its divisors is an integer number (20506500).

Almost surely, 2^920745360 is an apocalyptic number.

920745360 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 920745360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640520000).

920745360 is an abundant number, since it is smaller than the sum of its proper divisors (2360294640).

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

920745360 is a wasteful number, since it uses less digits than its factorization.

920745360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14750 (or 14738 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 920745360 is about 30343.7861843245. The cubic root of 920745360 is about 972.8514106836.

The spelling of 920745360 in words is "nine hundred twenty million, seven hundred forty-five thousand, three hundred sixty".