1700221680 has 180 divisors, whose sum is σ = 6066288072. Its totient is φ = 426670080.

The previous prime is 1700221673. The next prime is 1700221687. The reversal of 1700221680 is 861220071.

It is an interprime number because it is at equal distance from previous prime (1700221673) and next prime (1700221687).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1700221680² = 5781507522284044800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1700221687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203995 + ... + 212165.

Almost surely, 2^1700221680 is an apocalyptic number.

1700221680 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 1700221680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033144036).

1700221680 is an abundant number, since it is smaller than the sum of its proper divisors (4366066392).

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

1700221680 is a wasteful number, since it uses less digits than its factorization.

1700221680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1700221680 is about 41233.7444334128. The cubic root of 1700221680 is about 1193.5350664087.

The spelling of 1700221680 in words is "one billion, seven hundred million, two hundred twenty-one thousand, six hundred eighty".