1506000 has 80 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 400000.

The previous prime is 1505993. The next prime is 1506007. The reversal of 1506000 is 6051.

It is an interprime number because it is at equal distance from previous prime (1505993) and next prime (1506007).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5875 + ... + 6125.

2^1506000 is an apocalyptic number.

1506000 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 1506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344).

1506000 is an abundant number, since it is smaller than the sum of its proper divisors (3368688).

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

1506000 is a wasteful number, since it uses less digits than its factorization.

1506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1506000 is about 1227.1919165314. The cubic root of 1506000 is about 114.6238497673.

The spelling of 1506000 in words is "one million, five hundred six thousand".