1578954960 has 240 divisors, whose sum is σ = 5866106688. Its totient is φ = 377395200.

The previous prime is 1578954947. The next prime is 1578954997. The reversal of 1578954960 is 694598751.

1578954960 is a `hidden beast` number, since 1 + 578 + 9 + 5 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1578954897 and 1578954906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576795 + ... + 579525.

Almost surely, 2^1578954960 is an apocalyptic number.

1578954960 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 1578954960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933053344).

1578954960 is an abundant number, since it is smaller than the sum of its proper divisors (4287151728).

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

1578954960 is a wasteful number, since it uses less digits than its factorization.

1578954960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2825 counting only the distinct ones).

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

The square root of 1578954960 is about 39736.0662371101. The cubic root of 1578954960 is about 1164.4564405408.

The spelling of 1578954960 in words is "one billion, five hundred seventy-eight million, nine hundred fifty-four thousand, nine hundred sixty".