1292079648 has 144 divisors (see below), whose sum is σ = 3737555136. Its totient is φ = 390044160.

The previous prime is 1292079641. The next prime is 1292079653. The reversal of 1292079648 is 8469702921.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1292079597 and 1292079606.

It is not an unprimeable number, because it can be changed into a prime (1292079641) 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, 796278 + ... + 797898.

It is an arithmetic number, because the mean of its divisors is an integer number (25955244).

Almost surely, 2^1292079648 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 1292079648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868777568).

1292079648 is an abundant number, since it is smaller than the sum of its proper divisors (2445475488).

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

1292079648 is a wasteful number, since it uses less digits than its factorization.

1292079648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1292079648 is about 35945.5094274653. The cubic root of 1292079648 is about 1089.1719008420.

The spelling of 1292079648 in words is "one billion, two hundred ninety-two million, seventy-nine thousand, six hundred forty-eight".