1540120 has 32 divisors (see below), whose sum is σ = 3502800. Its totient is φ = 609408.

The previous prime is 1540109. The next prime is 1540141. The reversal of 1540120 is 210451.

It is a super-2 number, since 2×1540120² = 4743939228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1540120.

It is a congruent number.

It is an unprimeable number.

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, 5422 + ... + 5698.

2^1540120 is an apocalyptic number.

1540120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540120 is an abundant number, since it is smaller than the sum of its proper divisors (1962680).

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

1540120 is a wasteful number, since it uses less digits than its factorization.

1540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1540120 is about 1241.0157130351. The cubic root of 1540120 is about 115.4830344327.

1540120 divided by its product of nonzero digits (40) gives a triangular number (38503 = T₂₇₇).

Adding to 1540120 its reverse (210451), we get a palindrome (1750571).

The spelling of 1540120 in words is "one million, five hundred forty thousand, one hundred twenty".