1340093160 has 480 divisors, whose sum is σ = 5482287360. Its totient is φ = 292190976.

The previous prime is 1340093143. The next prime is 1340093177. The reversal of 1340093160 is 613900431.

1340093160 is a `hidden beast` number, since 1 + 340 + 0 + 9 + 316 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1340093143) and next prime (1340093177).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3651297 + ... + 3651663.

It is an arithmetic number, because the mean of its divisors is an integer number (11421432).

Almost surely, 2^1340093160 is an apocalyptic number.

1340093160 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 1340093160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741143680).

1340093160 is an abundant number, since it is smaller than the sum of its proper divisors (4142194200).

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

1340093160 is a wasteful number, since it uses less digits than its factorization.

1340093160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1340093160 is about 36607.2828819622. The cubic root of 1340093160 is about 1102.4993197275.

Adding to 1340093160 its reverse (613900431), we get a palindrome (1953993591).

The spelling of 1340093160 in words is "one billion, three hundred forty million, ninety-three thousand, one hundred sixty".