1293846960 has 240 divisors, whose sum is σ = 4694565600. Its totient is φ = 293916672.

The previous prime is 1293846943. The next prime is 1293847001. The reversal of 1293846960 is 696483921.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3163236 + ... + 3163644.

It is an arithmetic number, because the mean of its divisors is an integer number (19560690).

Almost surely, 2^1293846960 is an apocalyptic number.

1293846960 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 1293846960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347282800).

1293846960 is an abundant number, since it is smaller than the sum of its proper divisors (3400718640).

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

1293846960 is a wasteful number, since it uses less digits than its factorization.

1293846960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 1293846960 is about 35970.0842367654. The cubic root of 1293846960 is about 1089.6682659095.

It can be divided in two parts, 1293 and 846960, that added together give a triangular number (848253 = T₁₃₀₂).

The spelling of 1293846960 in words is "one billion, two hundred ninety-three million, eight hundred forty-six thousand, nine hundred sixty".