1293922080 has 384 divisors, whose sum is σ = 5021533440. Its totient is φ = 308551680.

The previous prime is 1293922067. The next prime is 1293922103. The reversal of 1293922080 is 802293921.

It is a super-2 number, since 2×1293922080² = 3348468698223052800, which contains 22 as substring.

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

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, 3468774 + ... + 3469146.

It is an arithmetic number, because the mean of its divisors is an integer number (13076910).

Almost surely, 2^1293922080 is an apocalyptic number.

1293922080 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 1293922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510766720).

1293922080 is an abundant number, since it is smaller than the sum of its proper divisors (3727611360).

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

1293922080 is a wasteful number, since it uses less digits than its factorization.

1293922080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1293922080 is about 35971.1284226670. The cubic root of 1293922080 is about 1089.6893540027.

The spelling of 1293922080 in words is "one billion, two hundred ninety-three million, nine hundred twenty-two thousand, eighty".