1721180160 has 672 divisors, whose sum is σ = 7360554240. Its totient is φ = 363331584.

The previous prime is 1721180119. The next prime is 1721180177. The reversal of 1721180160 is 610811271.

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

It is a super-2 number, since 2×1721180160² = 5924922286355251200, which contains 22 as substring.

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, 59351026 + ... + 59351054.

Almost surely, 2^1721180160 is an apocalyptic number.

1721180160 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 1721180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680277120).

1721180160 is an abundant number, since it is smaller than the sum of its proper divisors (5639374080).

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

1721180160 is a wasteful number, since it uses less digits than its factorization.

1721180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1721180160 is about 41487.1083591036. The cubic root of 1721180160 is about 1198.4192519440.

The spelling of 1721180160 in words is "one billion, seven hundred twenty-one million, one hundred eighty thousand, one hundred sixty".