1210903680 has 384 divisors, whose sum is σ = 4585152960. Its totient is φ = 270950400.

The previous prime is 1210903597. The next prime is 1210903697. The reversal of 1210903680 is 863090121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5738775 + ... + 5738985.

Almost surely, 2^1210903680 is an apocalyptic number.

1210903680 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 1210903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292576480).

1210903680 is an abundant number, since it is smaller than the sum of its proper divisors (3374249280).

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

1210903680 is a wasteful number, since it uses less digits than its factorization.

1210903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1210903680 is about 34798.0413241895. The cubic root of 1210903680 is about 1065.8674499350.

The spelling of 1210903680 in words is "one billion, two hundred ten million, nine hundred three thousand, six hundred eighty".