1307540 has 48 divisors (see below), whose sum is σ = 3048192. Its totient is φ = 468096.

The previous prime is 1307539. The next prime is 1307557. The reversal of 1307540 is 457031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12167 + ... + 12273.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

2^1307540 is an apocalyptic number.

1307540 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 1307540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096).

1307540 is an abundant number, since it is smaller than the sum of its proper divisors (1740652).

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

1307540 is a wasteful number, since it uses less digits than its factorization.

1307540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 1307540 is about 1143.4771532479. The cubic root of 1307540 is about 109.3498843012.

The spelling of 1307540 in words is "one million, three hundred seven thousand, five hundred forty".