1504864 has 48 divisors (see below), whose sum is σ = 3217536. Its totient is φ = 691200.

The previous prime is 1504861. The next prime is 1504879. The reversal of 1504864 is 4684051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504861) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36684 + ... + 36724.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

2^1504864 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 1504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768).

1504864 is an abundant number, since it is smaller than the sum of its proper divisors (1712672).

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

1504864 is a wasteful number, since it uses less digits than its factorization.

1504864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1504864 is about 1226.7289839243. The cubic root of 1504864 is about 114.5950216470.

The spelling of 1504864 in words is "one million, five hundred four thousand, eight hundred sixty-four".