1249093872 has 180 divisors, whose sum is σ = 3927576744. Its totient is φ = 384134400.

The previous prime is 1249093861. The next prime is 1249093873. The reversal of 1249093872 is 2783909421.

1249093872 is a `hidden beast` number, since 1 + 2 + 490 + 93 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249093873) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 656122 + ... + 658022.

Almost surely, 2^1249093872 is an apocalyptic number.

1249093872 is a gapful number since it is divisible by the number (12) 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 1249093872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963788372).

1249093872 is an abundant number, since it is smaller than the sum of its proper divisors (2678482872).

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

1249093872 is a wasteful number, since it uses less digits than its factorization.

1249093872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1249093872 is about 35342.5221510859. The cubic root of 1249093872 is about 1076.9569896155.

The spelling of 1249093872 in words is "one billion, two hundred forty-nine million, ninety-three thousand, eight hundred seventy-two".