1356889680 has 180 divisors, whose sum is σ = 4841450172. Its totient is φ = 340500480.

The previous prime is 1356889619. The next prime is 1356889687. The reversal of 1356889680 is 869886531.

1356889680 is a `hidden beast` number, since 13 + 568 + 8 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 289952784 + 1066936896 = 17028^2 + 32664^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1356889680² = 3682299207381004800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356889687) 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 35 ways as a sum of consecutive naturals, for example, 204820 + ... + 211340.

Almost surely, 2^1356889680 is an apocalyptic number.

1356889680 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 1356889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420725086).

1356889680 is an abundant number, since it is smaller than the sum of its proper divisors (3484560492).

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

1356889680 is a wasteful number, since it uses less digits than its factorization.

1356889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1356889680 is about 36835.9834944039. The cubic root of 1356889680 is about 1107.0863934259.

The spelling of 1356889680 in words is "one billion, three hundred fifty-six million, eight hundred eighty-nine thousand, six hundred eighty".