1298007648 has 432 divisors, whose sum is σ = 4660830720. Its totient is φ = 340526592.

The previous prime is 1298007569. The next prime is 1298007673. The reversal of 1298007648 is 8467008921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12601965 + ... + 12602067.

It is an arithmetic number, because the mean of its divisors is an integer number (10788960).

Almost surely, 2^1298007648 is an apocalyptic number.

1298007648 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 1298007648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330415360).

1298007648 is an abundant number, since it is smaller than the sum of its proper divisors (3362823072).

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

1298007648 is a wasteful number, since it uses less digits than its factorization.

1298007648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1298007648 is about 36027.8732095027. The cubic root of 1298007648 is about 1090.8350495809.

The spelling of 1298007648 in words is "one billion, two hundred ninety-eight million, seven thousand, six hundred forty-eight".