1019920 has 80 divisors (see below), whose sum is σ = 2767680. Its totient is φ = 345600.

The previous prime is 1019903. The next prime is 1019927. The reversal of 1019920 is 299101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1019891 and 1019900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16690 + ... + 16750.

It is an arithmetic number, because the mean of its divisors is an integer number (34596).

2^1019920 is an apocalyptic number.

1019920 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 1019920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383840).

1019920 is an abundant number, since it is smaller than the sum of its proper divisors (1747760).

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

1019920 is a wasteful number, since it uses less digits than its factorization.

1019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 1019920 is about 1009.9108871579. The cubic root of 1019920 is about 100.6596391938.

1019920 divided by its sum of digits (22) gives a triangular number (46360 = T₃₀₄).

The spelling of 1019920 in words is "one million, nineteen thousand, nine hundred twenty".