1224512640 has 640 divisors, whose sum is σ = 4976294400. Its totient is φ = 284663808.

The previous prime is 1224512629. The next prime is 1224512657. The reversal of 1224512640 is 462154221.

1224512640 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 5 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15500121 + ... + 15500199.

It is an arithmetic number, because the mean of its divisors is an integer number (7775460).

Almost surely, 2^1224512640 is an apocalyptic number.

1224512640 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 1224512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488147200).

1224512640 is an abundant number, since it is smaller than the sum of its proper divisors (3751781760).

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

1224512640 is a wasteful number, since it uses less digits than its factorization.

1224512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1224512640 is about 34993.0370216705. The cubic root of 1224512640 is about 1069.8455653900.

Adding to 1224512640 its reverse (462154221), we get a palindrome (1686666861).

The spelling of 1224512640 in words is "one billion, two hundred twenty-four million, five hundred twelve thousand, six hundred forty".