1294875648 has 264 divisors, whose sum is σ = 4173030576. Its totient is φ = 383385600.

The previous prime is 1294875619. The next prime is 1294875661. The reversal of 1294875648 is 8465784921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 1294875594 and 1294875603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5372808 + ... + 5373048.

It is an arithmetic number, because the mean of its divisors is an integer number (15806934).

Almost surely, 2^1294875648 is an apocalyptic number.

1294875648 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 1294875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086515288).

1294875648 is an abundant number, since it is smaller than the sum of its proper divisors (2878154928).

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

1294875648 is a wasteful number, since it uses less digits than its factorization.

1294875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1294875648 is about 35984.3806115931. The cubic root of 1294875648 is about 1089.9569738649.

The spelling of 1294875648 in words is "one billion, two hundred ninety-four million, eight hundred seventy-five thousand, six hundred forty-eight".