1530876564 has 96 divisors (see below), whose sum is σ = 4542370560. Its totient is φ = 436772736.

The previous prime is 1530876547. The next prime is 1530876577. The reversal of 1530876564 is 4656780351.

1530876564 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 87 + 6 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 934354 + ... + 935990.

It is an arithmetic number, because the mean of its divisors is an integer number (47316360).

Almost surely, 2^1530876564 is an apocalyptic number.

1530876564 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 1530876564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271185280).

1530876564 is an abundant number, since it is smaller than the sum of its proper divisors (3011493996).

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

1530876564 is a wasteful number, since it uses less digits than its factorization.

1530876564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1530876564 is about 39126.4177251125. The cubic root of 1530876564 is about 1152.5153672803.

The spelling of 1530876564 in words is "one billion, five hundred thirty million, eight hundred seventy-six thousand, five hundred sixty-four".