1506336 has 96 divisors (see below), whose sum is σ = 4572288. Its totient is φ = 430080.

The previous prime is 1506317. The next prime is 1506341. The reversal of 1506336 is 6336051.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 21181 + ... + 21251.

It is an arithmetic number, because the mean of its divisors is an integer number (47628).

2^1506336 is an apocalyptic number.

1506336 is a gapful number since it is divisible by the number (16) 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 1506336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144).

1506336 is an abundant number, since it is smaller than the sum of its proper divisors (3065952).

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

1506336 is a wasteful number, since it uses less digits than its factorization.

1506336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1506336 is about 1227.3288067995. The cubic root of 1506336 is about 114.6323736163.

The spelling of 1506336 in words is "one million, five hundred six thousand, three hundred thirty-six".