1204935680 has 176 divisors, whose sum is σ = 3192730464. Its totient is φ = 433520640.

The previous prime is 1204935679. The next prime is 1204935691. The reversal of 1204935680 is 865394021.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 2861870 + ... + 2862290.

It is an arithmetic number, because the mean of its divisors is an integer number (18140514).

Almost surely, 2^1204935680 is an apocalyptic number.

1204935680 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 1204935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596365232).

1204935680 is an abundant number, since it is smaller than the sum of its proper divisors (1987794784).

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

1204935680 is a wasteful number, since it uses less digits than its factorization.

1204935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 1204935680 is about 34712.1834519236. The cubic root of 1204935680 is about 1064.1135047661.

The spelling of 1204935680 in words is "one billion, two hundred four million, nine hundred thirty-five thousand, six hundred eighty".