1103691680 has 360 divisors, whose sum is σ = 3487614732. Its totient is φ = 328753152.

The previous prime is 1103691661. The next prime is 1103691691. The reversal of 1103691680 is 861963011.

It can be written as a sum of positive squares in 6 ways, for example, as 227768464 + 875923216 = 15092^2 + 29596^2 .

It is a super-3 number, since 3×1103691680³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1103691680.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64923032 + ... + 64923048.

Almost surely, 2^1103691680 is an apocalyptic number.

1103691680 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 1103691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743807366).

1103691680 is an abundant number, since it is smaller than the sum of its proper divisors (2383923052).

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

1103691680 is an equidigital number, since it uses as much as digits as its factorization.

1103691680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 1103691680 is about 33221.8554569127. The cubic root of 1103691680 is about 1033.4336283735.

The spelling of 1103691680 in words is "one billion, one hundred three million, six hundred ninety-one thousand, six hundred eighty".