1506312 has 24 divisors (see below), whose sum is σ = 4079790. Its totient is φ = 502080.

The previous prime is 1506287. The next prime is 1506317. The reversal of 1506312 is 2136051.

It can be written as a sum of positive squares in only one way, i.e., 1153476 + 352836 = 1074^2 + 594^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (1506317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10389 + ... + 10532.

2^1506312 is an apocalyptic number.

1506312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1506312 is an abundant number, since it is smaller than the sum of its proper divisors (2573478).

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

1506312 is a wasteful number, since it uses less digits than its factorization.

1506312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20933 (or 20926 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1506312 is about 1227.3190294296. The cubic root of 1506312 is about 114.6317648119.

The spelling of 1506312 in words is "one million, five hundred six thousand, three hundred twelve".