1720618416 has 480 divisors, whose sum is σ = 6122822400. Its totient is φ = 457021440.

The previous prime is 1720618387. The next prime is 1720618429. The reversal of 1720618416 is 6148160271.

It is a happy number.

1720618416 is a `hidden beast` number, since 1 + 7 + 20 + 618 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29162995 + ... + 29163053.

It is an arithmetic number, because the mean of its divisors is an integer number (12755880).

Almost surely, 2^1720618416 is an apocalyptic number.

1720618416 is a gapful number since it is divisible by the number (16) 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 1720618416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061411200).

1720618416 is an abundant number, since it is smaller than the sum of its proper divisors (4402203984).

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

1720618416 is a wasteful number, since it uses less digits than its factorization.

1720618416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1720618416 is about 41480.3377035434. The cubic root of 1720618416 is about 1198.2888611630.

Adding to 1720618416 its reverse (6148160271), we get a palindrome (7868778687).

The spelling of 1720618416 in words is "one billion, seven hundred twenty million, six hundred eighteen thousand, four hundred sixteen".