1506840 has 64 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 387072.

The previous prime is 1506839. The next prime is 1506851. The reversal of 1506840 is 486051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1506840.

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, 3264 + ... + 3696.

2^1506840 is an apocalyptic number.

1506840 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 1506840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

1506840 is an abundant number, since it is smaller than the sum of its proper divisors (3180360).

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

1506840 is a wasteful number, since it uses less digits than its factorization.

1506840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1506840 is about 1227.5341135789. The cubic root of 1506840 is about 114.6451570134.

It can be divided in two parts, 1506 and 840, that added together give a triangular number (2346 = T₆₈).

The spelling of 1506840 in words is "one million, five hundred six thousand, eight hundred forty".