1220304624 has 240 divisors, whose sum is σ = 4048776576. Its totient is φ = 313152000.

The previous prime is 1220304587. The next prime is 1220304641. The reversal of 1220304624 is 4264030221.

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

It is a junction number, because it is equal to n+sod(n) for n = 1220304594 and 1220304603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612839 + ... + 2613305.

Almost surely, 2^1220304624 is an apocalyptic number.

1220304624 is a gapful number since it is divisible by the number (14) 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 1220304624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024388288).

1220304624 is an abundant number, since it is smaller than the sum of its proper divisors (2828471952).

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

1220304624 is a wasteful number, since it uses less digits than its factorization.

1220304624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1220304624 is about 34932.8588008482. The cubic root of 1220304624 is about 1068.6186571196.

Adding to 1220304624 its reverse (4264030221), we get a palindrome (5484334845).

The spelling of 1220304624 in words is "one billion, two hundred twenty million, three hundred four thousand, six hundred twenty-four".