1540560 has 120 divisors (see below), whose sum is σ = 5597856. Its totient is φ = 349440.

The previous prime is 1540559. The next prime is 1540573. The reversal of 1540560 is 650451.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1540560² = 4746650227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11695 + ... + 11825.

2^1540560 is an apocalyptic number.

1540560 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 1540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798928).

1540560 is an abundant number, since it is smaller than the sum of its proper divisors (4057296).

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

1540560 is a wasteful number, since it uses less digits than its factorization.

1540560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1540560 is about 1241.1929745209. The cubic root of 1540560 is about 115.4940309128.

It can be divided in two parts, 15 and 40560, that multiplied together give a square (608400 = 780²).

The spelling of 1540560 in words is "one million, five hundred forty thousand, five hundred sixty".