1249060680 has 384 divisors, whose sum is σ = 4888166400. Its totient is φ = 270604800.

The previous prime is 1249060679. The next prime is 1249060691. The reversal of 1249060680 is 860609421.

1249060680 is a `hidden beast` number, since 1 + 2 + 49 + 0 + 606 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4608945 + ... + 4609215.

It is an arithmetic number, because the mean of its divisors is an integer number (12729600).

Almost surely, 2^1249060680 is an apocalyptic number.

1249060680 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 1249060680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444083200).

1249060680 is an abundant number, since it is smaller than the sum of its proper divisors (3639105720).

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

1249060680 is a wasteful number, since it uses less digits than its factorization.

1249060680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1249060680 is about 35342.0525719715. The cubic root of 1249060680 is about 1076.9474502542.

The spelling of 1249060680 in words is "one billion, two hundred forty-nine million, sixty thousand, six hundred eighty".