1224960 has 144 divisors (see below), whose sum is σ = 4415040. Its totient is φ = 286720.

The previous prime is 1224953. The next prime is 1224967. The reversal of 1224960 is 694221.

It is an interprime number because it is at equal distance from previous prime (1224953) and next prime (1224967).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1224960.

It is not an unprimeable number, because it can be changed into a prime (1224967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42226 + ... + 42254.

It is an arithmetic number, because the mean of its divisors is an integer number (30660).

2^1224960 is an apocalyptic number.

1224960 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 1224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207520).

1224960 is an abundant number, since it is smaller than the sum of its proper divisors (3190080).

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

1224960 is a wasteful number, since it uses less digits than its factorization.

1224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1224960 is about 1106.7791107534. The cubic root of 1224960 is about 106.9975834316.

1224960 divided by its sum of digits (24) gives a triangular number (51040 = T₃₁₉).

The spelling of 1224960 in words is "one million, two hundred twenty-four thousand, nine hundred sixty".