1340661600 has 216 divisors, whose sum is σ = 4789380960. Its totient is φ = 352834560.

The previous prime is 1340661593. The next prime is 1340661613. The reversal of 1340661600 is 61660431.

1340661600 is a `hidden beast` number, since 1 + 3 + 40 + 6 + 616 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 567622 + ... + 569978.

It is an arithmetic number, because the mean of its divisors is an integer number (22173060).

Almost surely, 2^1340661600 is an apocalyptic number.

1340661600 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 1340661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394690480).

1340661600 is an abundant number, since it is smaller than the sum of its proper divisors (3448719360).

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

1340661600 is a wasteful number, since it uses less digits than its factorization.

1340661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1340661600 is about 36615.0460876400. The cubic root of 1340661600 is about 1102.6551835488.

The spelling of 1340661600 in words is "one billion, three hundred forty million, six hundred sixty-one thousand, six hundred".