1578787938 has 144 divisors (see below), whose sum is σ = 4511445120. Its totient is φ = 394414272.

The previous prime is 1578787921. The next prime is 1578787939. The reversal of 1578787938 is 8397878751.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1578787939) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 214231 + ... + 221477.

It is an arithmetic number, because the mean of its divisors is an integer number (31329480).

Almost surely, 2^1578787938 is an apocalyptic number.

1578787938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1578787938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255722560).

1578787938 is an abundant number, since it is smaller than the sum of its proper divisors (2932657182).

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

1578787938 is a wasteful number, since it uses less digits than its factorization.

1578787938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7301 (or 7291 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 63.

The square root of 1578787938 is about 39733.9645391698. The cubic root of 1578787938 is about 1164.4153803234.

The spelling of 1578787938 in words is "one billion, five hundred seventy-eight million, seven hundred eighty-seven thousand, nine hundred thirty-eight".