1601381760 has 384 divisors, whose sum is σ = 5753069280. Its totient is φ = 378470400.

The previous prime is 1601381737. The next prime is 1601381767. The reversal of 1601381760 is 671831061.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601381767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14171464 + ... + 14171576.

Almost surely, 2^1601381760 is an apocalyptic number.

1601381760 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 1601381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876534640).

1601381760 is an abundant number, since it is smaller than the sum of its proper divisors (4151687520).

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

1601381760 is a wasteful number, since it uses less digits than its factorization.

1601381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1601381760 is about 40017.2682725845. The cubic root of 1601381760 is about 1169.9436893054.

The spelling of 1601381760 in words is "one billion, six hundred one million, three hundred eighty-one thousand, seven hundred sixty".