1506340 has 48 divisors (see below), whose sum is σ = 3556224. Its totient is φ = 531200.

The previous prime is 1506317. The next prime is 1506341. The reversal of 1506340 is 436051.

1506340 = T₄₅ + T₄₆ + ... + T₂₀₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8937 + ... + 9103.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

2^1506340 is an apocalyptic number.

1506340 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 1506340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112).

1506340 is an abundant number, since it is smaller than the sum of its proper divisors (2049884).

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

1506340 is a wasteful number, since it uses less digits than its factorization.

1506340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1506340 is about 1227.3304363536. The cubic root of 1506340 is about 114.6324750830.

Subtracting from 1506340 its product of nonzero digits (360), we obtain a triangular number (1505980 = T₁₇₃₅).

The spelling of 1506340 in words is "one million, five hundred six thousand, three hundred forty".