1791829648 has 120 divisors (see below), whose sum is σ = 4301825112. Its totient is φ = 718405632.

The previous prime is 1791829579. The next prime is 1791829649. The reversal of 1791829648 is 8469281971.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 801342864 + 990486784 = 28308^2 + 31472^2 .

It is not an unprimeable number, because it can be changed into a prime (1791829649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3105136 + ... + 3105712.

Almost surely, 2^1791829648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1791829648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150912556).

1791829648 is an abundant number, since it is smaller than the sum of its proper divisors (2509995464).

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

1791829648 is a wasteful number, since it uses less digits than its factorization.

1791829648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 836 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 55.

The square root of 1791829648 is about 42330.0088353404. The cubic root of 1791829648 is about 1214.5970987654.

The spelling of 1791829648 in words is "one billion, seven hundred ninety-one million, eight hundred twenty-nine thousand, six hundred forty-eight".