1506064 has 60 divisors (see below), whose sum is σ = 3625884. Its totient is φ = 602112.

The previous prime is 1506059. The next prime is 1506077. The reversal of 1506064 is 4606051.

It can be written as a sum of positive squares in 2 ways, for example, as 490000 + 1016064 = 700^2 + 1008^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13272 + ... + 13384.

2^1506064 is an apocalyptic number.

1506064 is a gapful number since it is divisible by the number (14) 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 1506064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812942).

1506064 is an abundant number, since it is smaller than the sum of its proper divisors (2119820).

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

1506064 is a wasteful number, since it uses less digits than its factorization.

1506064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1506064 is about 1227.2179920454. The cubic root of 1506064 is about 114.6254734553.

The spelling of 1506064 in words is "one million, five hundred six thousand, sixty-four".