1071520 has 48 divisors (see below), whose sum is σ = 2614248. Its totient is φ = 414720.

The previous prime is 1071487. The next prime is 1071529. The reversal of 1071520 is 251701.

It can be written as a sum of positive squares in 4 ways, for example, as 753424 + 318096 = 868^2 + 564^2 .

It is a super-2 number, since 2×1071520² = 2296310220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1071494 and 1071503.

It is not an unprimeable number, because it can be changed into a prime (1071529) 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 7 ways as a sum of consecutive naturals, for example, 5830 + ... + 6010.

2^1071520 is an apocalyptic number.

1071520 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 1071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307124).

1071520 is an abundant number, since it is smaller than the sum of its proper divisors (1542728).

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

1071520 is a wasteful number, since it uses less digits than its factorization.

1071520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 1071520 is about 1035.1425022672. The cubic root of 1071520 is about 102.3293213445.

The spelling of 1071520 in words is "one million, seventy-one thousand, five hundred twenty".