1540080 has 160 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 380160.

The previous prime is 1540079. The next prime is 1540087. The reversal of 1540080 is 800451.

It is a Cunningham number, because it is equal to 1241²-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49665 + ... + 49695.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2^1540080 is an apocalyptic number.

1540080 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 1540080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

1540080 is an abundant number, since it is smaller than the sum of its proper divisors (4173840).

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

1540080 is a wasteful number, since it uses less digits than its factorization.

1540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1540080 is about 1240.9995970990. Note that the first 3 decimals coincide. The cubic root of 1540080 is about 115.4820346488.

The spelling of 1540080 in words is "one million, five hundred forty thousand, eighty".