1601968720 has 40 divisors (see below), whose sum is σ = 4063177440. Its totient is φ = 582533760.

The previous prime is 1601968703. The next prime is 1601968733. The reversal of 1601968720 is 278691061.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1601968720³ (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909330 + ... + 911089.

It is an arithmetic number, because the mean of its divisors is an integer number (101579436).

Almost surely, 2^1601968720 is an apocalyptic number.

1601968720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601968720 is an abundant number, since it is smaller than the sum of its proper divisors (2461208720).

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

1601968720 is a wasteful number, since it uses less digits than its factorization.

1601968720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820443 (or 1820437 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 1601968720 is about 40024.6014346177. The cubic root of 1601968720 is about 1170.0866130148.

The spelling of 1601968720 in words is "one billion, six hundred one million, nine hundred sixty-eight thousand, seven hundred twenty".