1293470640 has 720 divisors, whose sum is σ = 5753069280. Its totient is φ = 266112000.

The previous prime is 1293470621. The next prime is 1293470641. The reversal of 1293470640 is 460743921.

1293470640 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 4 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 1293470595 and 1293470604.

It is not an unprimeable number, because it can be changed into a prime (1293470641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12806590 + ... + 12806690.

It is an arithmetic number, because the mean of its divisors is an integer number (7990374).

Almost surely, 2^1293470640 is an apocalyptic number.

1293470640 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 1293470640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876534640).

1293470640 is an abundant number, since it is smaller than the sum of its proper divisors (4459598640).

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

1293470640 is a wasteful number, since it uses less digits than its factorization.

1293470640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1293470640 is about 35964.8528427408. The cubic root of 1293470640 is about 1089.5626110324.

It can be divided in two parts, 129 and 3470640, that added together give a square (3470769 = 1863²).

The spelling of 1293470640 in words is "one billion, two hundred ninety-three million, four hundred seventy thousand, six hundred forty".