1578660864 has 264 divisors, whose sum is σ = 4809041664. Its totient is φ = 459571200.

The previous prime is 1578660857. The next prime is 1578660869. The reversal of 1578660864 is 4680668751.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1578660869) 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 23 ways as a sum of consecutive naturals, for example, 11523004 + ... + 11523140.

Almost surely, 2^1578660864 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 1578660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404520832).

1578660864 is an abundant number, since it is smaller than the sum of its proper divisors (3230380800).

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

1578660864 is a wasteful number, since it uses less digits than its factorization.

1578660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 1578660864 is about 39732.3654468243. The cubic root of 1578660864 is about 1164.3841388698.

The spelling of 1578660864 in words is "one billion, five hundred seventy-eight million, six hundred sixty thousand, eight hundred sixty-four".