1249326540 has 432 divisors, whose sum is σ = 4899847680. Its totient is φ = 254741760.

The previous prime is 1249326527. The next prime is 1249326563. The reversal of 1249326540 is 456239421.

It is a happy number.

1249326540 is a `hidden beast` number, since 1 + 2 + 4 + 93 + 26 + 540 = 666.

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

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1249326495 and 1249326504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7664499 + ... + 7664661.

It is an arithmetic number, because the mean of its divisors is an integer number (11342240).

Almost surely, 2^1249326540 is an apocalyptic number.

1249326540 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 1249326540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449923840).

1249326540 is an abundant number, since it is smaller than the sum of its proper divisors (3650521140).

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

1249326540 is a wasteful number, since it uses less digits than its factorization.

1249326540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1249326540 is about 35345.8136134960. The cubic root of 1249326540 is about 1077.0238535179.

The spelling of 1249326540 in words is "one billion, two hundred forty-nine million, three hundred twenty-six thousand, five hundred forty".