1226688540 has 288 divisors, whose sum is σ = 4420894464. Its totient is φ = 251274240.

The previous prime is 1226688527. The next prime is 1226688559. The reversal of 1226688540 is 458866221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1226688492 and 1226688501.

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 95 ways as a sum of consecutive naturals, for example, 2683992 + ... + 2684448.

It is an arithmetic number, because the mean of its divisors is an integer number (15350328).

Almost surely, 2^1226688540 is an apocalyptic number.

1226688540 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 1226688540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210447232).

1226688540 is an abundant number, since it is smaller than the sum of its proper divisors (3194205924).

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

1226688540 is a wasteful number, since it uses less digits than its factorization.

1226688540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 1226688540 is about 35024.1136932828. The cubic root of 1226688540 is about 1070.4788784343.

The spelling of 1226688540 in words is "one billion, two hundred twenty-six million, six hundred eighty-eight thousand, five hundred forty".