1638079848 has 160 divisors (see below), whose sum is σ = 4827537000. Its totient is φ = 518192640.

The previous prime is 1638079841. The next prime is 1638079853. The reversal of 1638079848 is 8489708361.

It can be written as a sum of positive squares in 4 ways, for example, as 563682564 + 1074397284 = 23742^2 + 32778^2 .

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 = 1638079794 and 1638079803.

It is not an unprimeable number, because it can be changed into a prime (1638079841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1145598 + ... + 1147026.

Almost surely, 2^1638079848 is an apocalyptic number.

1638079848 is a gapful number since it is divisible by the number (18) 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 1638079848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413768500).

1638079848 is an abundant number, since it is smaller than the sum of its proper divisors (3189457152).

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

1638079848 is a wasteful number, since it uses less digits than its factorization.

1638079848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1638079848 is about 40473.1991322653. The cubic root of 1638079848 is about 1178.8132874501.

The spelling of 1638079848 in words is "one billion, six hundred thirty-eight million, seventy-nine thousand, eight hundred forty-eight".