1224564000 has 192 divisors, whose sum is σ = 4376840832. Its totient is φ = 296832000.

The previous prime is 1224563971. The next prime is 1224564053. The reversal of 1224564000 is 4654221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127362 + ... + 136638.

It is an arithmetic number, because the mean of its divisors is an integer number (22796046).

Almost surely, 2^1224564000 is an apocalyptic number.

1224564000 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 1224564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188420416).

1224564000 is an abundant number, since it is smaller than the sum of its proper divisors (3152276832).

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

1224564000 is a wasteful number, since it uses less digits than its factorization.

1224564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316 (or 9298 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1224564000 is about 34993.7708742570. The cubic root of 1224564000 is about 1069.8605227693.

It can be divided in two parts, 12245 and 64000, that added together give a triangular number (76245 = T₃₉₀).

The spelling of 1224564000 in words is "one billion, two hundred twenty-four million, five hundred sixty-four thousand".