1293140160 has 448 divisors, whose sum is σ = 5095036800. Its totient is φ = 306561024.

The previous prime is 1293140153. The next prime is 1293140179. The reversal of 1293140160 is 610413921.

It is a super-2 number, since 2×1293140160² = 3344422946809651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3257082 + ... + 3257478.

It is an arithmetic number, because the mean of its divisors is an integer number (11372850).

Almost surely, 2^1293140160 is an apocalyptic number.

1293140160 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 1293140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547518400).

1293140160 is an abundant number, since it is smaller than the sum of its proper divisors (3801896640).

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

1293140160 is a wasteful number, since it uses less digits than its factorization.

1293140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1293140160 is about 35960.2580635901. The cubic root of 1293140160 is about 1089.4698092037.

The spelling of 1293140160 in words is "one billion, two hundred ninety-three million, one hundred forty thousand, one hundred sixty".