1219963680 has 360 divisors, whose sum is σ = 4670490132. Its totient is φ = 299759616.

The previous prime is 1219963637. The next prime is 1219963691. The reversal of 1219963680 is 863699121.

It is a happy number.

1219963680 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 9 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8088336 + 1211875344 = 2844^2 + 34812^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1219963680² = 2976622761038284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 2189962 + ... + 2190518.

Almost surely, 2^1219963680 is an apocalyptic number.

1219963680 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 1219963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335245066).

1219963680 is an abundant number, since it is smaller than the sum of its proper divisors (3450526452).

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

1219963680 is a wasteful number, since it uses less digits than its factorization.

1219963680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1219963680 is about 34927.9784699888. The cubic root of 1219963680 is about 1068.5191264918.

The spelling of 1219963680 in words is "one billion, two hundred nineteen million, nine hundred sixty-three thousand, six hundred eighty".