1578994560 has 768 divisors, whose sum is σ = 6736504320. Its totient is φ = 348364800.

The previous prime is 1578994541. The next prime is 1578994589. The reversal of 1578994560 is 654998751.

1578994560 is a `hidden beast` number, since 1 + 5 + 78 + 9 + 9 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1578994497 and 1578994506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22239325 + ... + 22239395.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2^1578994560 is an apocalyptic number.

1578994560 is a gapful number since it is divisible by the number (10) 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 1578994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368252160).

1578994560 is an abundant number, since it is smaller than the sum of its proper divisors (5157509760).

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

1578994560 is a wasteful number, since it uses less digits than its factorization.

1578994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 1578994560 is about 39736.5645218607. The cubic root of 1578994560 is about 1164.4661752684.

The spelling of 1578994560 in words is "one billion, five hundred seventy-eight million, nine hundred ninety-four thousand, five hundred sixty".