1504696128 has 112 divisors (see below), whose sum is σ = 4319259840. Its totient is φ = 459546624.

The previous prime is 1504696121. The next prime is 1504696147. The reversal of 1504696128 is 8216964051.

It is a super-2 number, since 2×1504696128² = 4528220875236384768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1504696128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504696121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344776 + ... + 349112.

It is an arithmetic number, because the mean of its divisors is an integer number (38564820).

Almost surely, 2^1504696128 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 1504696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159629920).

1504696128 is an abundant number, since it is smaller than the sum of its proper divisors (2814563712).

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

1504696128 is a wasteful number, since it uses less digits than its factorization.

1504696128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1504696128 is about 38790.4128361635. The cubic root of 1504696128 is about 1145.9076035141.

The spelling of 1504696128 in words is "one billion, five hundred four million, six hundred ninety-six thousand, one hundred twenty-eight".