1578640896 has 240 divisors, whose sum is σ = 5266404000. Its totient is φ = 445906944.

The previous prime is 1578640883. The next prime is 1578640951. The reversal of 1578640896 is 6980468751.

1578640896 is a `hidden beast` number, since 1 + 578 + 64 + 0 + 8 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3515680 + ... + 3516128.

It is an arithmetic number, because the mean of its divisors is an integer number (21943350).

Almost surely, 2^1578640896 is an apocalyptic number.

1578640896 is a gapful number since it is divisible by the number (16) 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 1578640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633202000).

1578640896 is an abundant number, since it is smaller than the sum of its proper divisors (3687763104).

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

1578640896 is a wasteful number, since it uses less digits than its factorization.

1578640896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1578640896 is about 39732.1141647408. The cubic root of 1578640896 is about 1164.3792295358.

The spelling of 1578640896 in words is "one billion, five hundred seventy-eight million, six hundred forty thousand, eight hundred ninety-six".