1224867840 has 288 divisors, whose sum is σ = 4529831040. Its totient is φ = 276824064.

The previous prime is 1224867827. The next prime is 1224867859. The reversal of 1224867840 is 487684221.

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 = 1224867792 and 1224867801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13762516 + ... + 13762604.

It is an arithmetic number, because the mean of its divisors is an integer number (15728580).

Almost surely, 2^1224867840 is an apocalyptic number.

1224867840 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 1224867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264915520).

1224867840 is an abundant number, since it is smaller than the sum of its proper divisors (3304963200).

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

1224867840 is an frugal number, since it uses more digits than its factorization.

1224867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 1224867840 is about 34998.1119490752. Note that the first 3 decimals coincide. The cubic root of 1224867840 is about 1069.9490003934.

The spelling of 1224867840 in words is "one billion, two hundred twenty-four million, eight hundred sixty-seven thousand, eight hundred forty".