1340189760 has 672 divisors, whose sum is σ = 5663427840. Its totient is φ = 261144576.

The previous prime is 1340189717. The next prime is 1340189777. The reversal of 1340189760 is 679810431.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1340189760² = 3592217185617715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46213426 + ... + 46213454.

It is an arithmetic number, because the mean of its divisors is an integer number (8427720).

Almost surely, 2^1340189760 is an apocalyptic number.

1340189760 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 1340189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831713920).

1340189760 is an abundant number, since it is smaller than the sum of its proper divisors (4323238080).

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

1340189760 is a wasteful number, since it uses less digits than its factorization.

1340189760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1340189760 is about 36608.6022677731. The cubic root of 1340189760 is about 1102.5258101433.

The spelling of 1340189760 in words is "one billion, three hundred forty million, one hundred eighty-nine thousand, seven hundred sixty".