1506144 has 48 divisors (see below), whose sum is σ = 4097520. Its totient is φ = 483840.

The previous prime is 1506137. The next prime is 1506157. The reversal of 1506144 is 4416051.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1506144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2514 + ... + 3054.

It is an arithmetic number, because the mean of its divisors is an integer number (85365).

2^1506144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048760).

1506144 is an abundant number, since it is smaller than the sum of its proper divisors (2591376).

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

1506144 is a wasteful number, since it uses less digits than its factorization.

1506144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1506144 is about 1227.2505856589. The cubic root of 1506144 is about 114.6275030006.

It can be divided in two parts, 150 and 6144, that multiplied together give a square (921600 = 960²).

The spelling of 1506144 in words is "one million, five hundred six thousand, one hundred forty-four".