1206938880 has 360 divisors, whose sum is σ = 4938565632. Its totient is φ = 275705856.

The previous prime is 1206938867. The next prime is 1206938891. The reversal of 1206938880 is 888396021.

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

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 724929 + ... + 726591.

Almost surely, 2^1206938880 is an apocalyptic number.

1206938880 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 1206938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469282816).

1206938880 is an abundant number, since it is smaller than the sum of its proper divisors (3731626752).

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

1206938880 is an equidigital number, since it uses as much as digits as its factorization.

1206938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1206938880 is about 34741.0258915882. The cubic root of 1206938880 is about 1064.7028728742.

The spelling of 1206938880 in words is "one billion, two hundred six million, nine hundred thirty-eight thousand, eight hundred eighty".