1567120 has 40 divisors (see below), whose sum is σ = 3839040. Its totient is φ = 593280.

The previous prime is 1567117. The next prime is 1567127. The reversal of 1567120 is 217651.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1567091 and 1567100.

It is not an unprimeable number, because it can be changed into a prime (1567127) 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 7 ways as a sum of consecutive naturals, for example, 1005 + ... + 2035.

It is an arithmetic number, because the mean of its divisors is an integer number (95976).

2^1567120 is an apocalyptic number.

1567120 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 1567120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919520).

1567120 is an abundant number, since it is smaller than the sum of its proper divisors (2271920).

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

1567120 is a wasteful number, since it uses less digits than its factorization.

1567120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1567120 is about 1251.8466359742. The cubic root of 1567120 is about 116.1539770521.

The spelling of 1567120 in words is "one million, five hundred sixty-seven thousand, one hundred twenty".