1220652720 has 480 divisors, whose sum is σ = 5156812800. Its totient is φ = 263886336.

The previous prime is 1220652703. The next prime is 1220652733. The reversal of 1220652720 is 272560221.

1220652720 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 652 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2010657 + ... + 2011263.

It is an arithmetic number, because the mean of its divisors is an integer number (10743360).

Almost surely, 2^1220652720 is an apocalyptic number.

1220652720 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 1220652720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578406400).

1220652720 is an abundant number, since it is smaller than the sum of its proper divisors (3936160080).

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

1220652720 is a wasteful number, since it uses less digits than its factorization.

1220652720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 643 counting only the distinct ones).

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

The square root of 1220652720 is about 34937.8408033467. The cubic root of 1220652720 is about 1068.7202564822.

The spelling of 1220652720 in words is "one billion, two hundred twenty million, six hundred fifty-two thousand, seven hundred twenty".