1220567040 has 672 divisors, whose sum is σ = 5397739776. Its totient is φ = 247726080.

The previous prime is 1220567039. The next prime is 1220567053. The reversal of 1220567040 is 407650221.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 1220566995 and 1220567013.

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, 28385259 + ... + 28385301.

Almost surely, 2^1220567040 is an apocalyptic number.

1220567040 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 1220567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698869888).

1220567040 is an abundant number, since it is smaller than the sum of its proper divisors (4177172736).

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

1220567040 is a wasteful number, since it uses less digits than its factorization.

1220567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1220567040 is about 34936.6146041656. The cubic root of 1220567040 is about 1068.6952507093.

The spelling of 1220567040 in words is "one billion, two hundred twenty million, five hundred sixty-seven thousand, forty".