1360679040 has 384 divisors, whose sum is σ = 5609347200. Its totient is φ = 310818816.

The previous prime is 1360679039. The next prime is 1360679041. The reversal of 1360679040 is 409760631.

1360679040 is a `hidden beast` number, since 1 + 3 + 606 + 7 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1360679039) and next prime (1360679041).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1360678986 and 1360679004.

It is not an unprimeable number, because it can be changed into a prime (1360679041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845917 + ... + 847523.

It is an arithmetic number, because the mean of its divisors is an integer number (14607675).

Almost surely, 2^1360679040 is an apocalyptic number.

1360679040 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 1360679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804673600).

1360679040 is an abundant number, since it is smaller than the sum of its proper divisors (4248668160).

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

1360679040 is a wasteful number, since it uses less digits than its factorization.

1360679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1360679040 is about 36887.3832088968. The cubic root of 1360679040 is about 1108.1160152558.

The spelling of 1360679040 in words is "one billion, three hundred sixty million, six hundred seventy-nine thousand, forty".