1620960768 has 240 divisors, whose sum is σ = 5583861360. Its totient is φ = 462938112.

The previous prime is 1620960763. The next prime is 1620960773. The reversal of 1620960768 is 8670690261.

1620960768 is a `hidden beast` number, since 16 + 20 + 9 + 607 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1620960763) and next prime (1620960773).

It is a super-2 number, since 2×1620960768² = 5255027622790299648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620960763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676180 + ... + 678572.

It is an arithmetic number, because the mean of its divisors is an integer number (23266089).

Almost surely, 2^1620960768 is an apocalyptic number.

1620960768 is a gapful number since it is divisible by the number (18) 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 1620960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791930680).

1620960768 is an abundant number, since it is smaller than the sum of its proper divisors (3962900592).

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

1620960768 is an equidigital number, since it uses as much as digits as its factorization.

1620960768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1620960768 is about 40261.1570623597. The cubic root of 1620960768 is about 1174.6924242171.

The spelling of 1620960768 in words is "one billion, six hundred twenty million, nine hundred sixty thousand, seven hundred sixty-eight".