1029051648 has 144 divisors (see below), whose sum is σ = 3175885440. Its totient is φ = 328052736.

The previous prime is 1029051643. The next prime is 1029051649. The reversal of 1029051648 is 8461509201.

1029051648 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 0 + 5 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029051643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155740 + ... + 162212.

It is an arithmetic number, because the mean of its divisors is an integer number (22054760).

Almost surely, 2^1029051648 is an apocalyptic number.

1029051648 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 1029051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587942720).

1029051648 is an abundant number, since it is smaller than the sum of its proper divisors (2146833792).

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

1029051648 is an equidigital number, since it uses as much as digits as its factorization.

1029051648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1029051648 is about 32078.8348915605. The cubic root of 1029051648 is about 1009.5915899316.

The spelling of 1029051648 in words is "one billion, twenty-nine million, fifty-one thousand, six hundred forty-eight".