1361490768 has 200 divisors, whose sum is σ = 4400733216. Its totient is φ = 402796800.

The previous prime is 1361490763. The next prime is 1361490787. The reversal of 1361490768 is 8670941631.

It is a happy number.

It is a super-2 number, since 2×1361490768² = 3707314222698459648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361490763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 611898 + ... + 614118.

Almost surely, 2^1361490768 is an apocalyptic number.

1361490768 is a gapful number since it is divisible by the number (18) 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 1361490768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200366608).

1361490768 is an abundant number, since it is smaller than the sum of its proper divisors (3039242448).

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

1361490768 is a wasteful number, since it uses less digits than its factorization.

1361490768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1361490768 is about 36898.3843548739. The cubic root of 1361490768 is about 1108.3363243718.

The spelling of 1361490768 in words is "one billion, three hundred sixty-one million, four hundred ninety thousand, seven hundred sixty-eight".