1294912320 has 448 divisors, whose sum is σ = 4806574080. Its totient is φ = 292626432.

The previous prime is 1294912319. The next prime is 1294912361. The reversal of 1294912320 is 232194921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10196097 + ... + 10196223.

It is an arithmetic number, because the mean of its divisors is an integer number (10728960).

Almost surely, 2^1294912320 is an apocalyptic number.

1294912320 is a gapful number since it is divisible by the number (10) 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 1294912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403287040).

1294912320 is an abundant number, since it is smaller than the sum of its proper divisors (3511661760).

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

1294912320 is a wasteful number, since it uses less digits than its factorization.

1294912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1294912320 is about 35984.8901624001. The cubic root of 1294912320 is about 1089.9672632763.

The spelling of 1294912320 in words is "one billion, two hundred ninety-four million, nine hundred twelve thousand, three hundred twenty".