1340889600 has 120 divisors (see below), whose sum is σ = 4429671840. Its totient is φ = 357560320.

The previous prime is 1340889553. The next prime is 1340889607. The reversal of 1340889600 is 69880431.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1340889607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20941 + ... + 55859.

It is an arithmetic number, because the mean of its divisors is an integer number (36913932).

Almost surely, 2^1340889600 is an apocalyptic number.

1340889600 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 1340889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214835920).

1340889600 is an abundant number, since it is smaller than the sum of its proper divisors (3088782240).

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

1340889600 is an equidigital number, since it uses as much as digits as its factorization.

1340889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34950 (or 34929 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1340889600 is about 36618.1594294416. The cubic root of 1340889600 is about 1102.7176877958.

The spelling of 1340889600 in words is "one billion, three hundred forty million, eight hundred eighty-nine thousand, six hundred".