1009920 has 72 divisors (see below), whose sum is σ = 3237696. Its totient is φ = 268288.

The previous prime is 1009909. The next prime is 1009927. The reversal of 1009920 is 299001.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1009927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3709 + ... + 3971.

It is an arithmetic number, because the mean of its divisors is an integer number (44968).

2^1009920 is an apocalyptic number.

1009920 is a gapful number since it is divisible by the number (10) 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 1009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618848).

1009920 is an abundant number, since it is smaller than the sum of its proper divisors (2227776).

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

1009920 is an equidigital number, since it uses as much as digits as its factorization.

1009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 1009920 is about 1004.9477598363. The cubic root of 1009920 is about 100.3295792485.

The spelling of 1009920 in words is "one million, nine thousand, nine hundred twenty".