1019720 has 64 divisors (see below), whose sum is σ = 2585520. Its totient is φ = 359424.

The previous prime is 1019717. The next prime is 1019723. The reversal of 1019720 is 279101.

It is an interprime number because it is at equal distance from previous prime (1019717) and next prime (1019723).

It can be written as a sum of positive squares in 8 ways, for example, as 586756 + 432964 = 766^2 + 658^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1019692 and 1019701.

It is not an unprimeable number, because it can be changed into a prime (1019723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19214 + ... + 19266.

2^1019720 is an apocalyptic number.

1019720 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 1019720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292760).

1019720 is an abundant number, since it is smaller than the sum of its proper divisors (1565800).

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

1019720 is a wasteful number, since it uses less digits than its factorization.

1019720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1019720 is about 1009.8118636657. The cubic root of 1019720 is about 100.6530591863.

The spelling of 1019720 in words is "one million, nineteen thousand, seven hundred twenty".