1601366340 has 288 divisors, whose sum is σ = 5545451520. Its totient is φ = 338098176.

The previous prime is 1601366317. The next prime is 1601366359. The reversal of 1601366340 is 436631061.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1601366298 and 1601366307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9588937 + ... + 9589103.

It is an arithmetic number, because the mean of its divisors is an integer number (19255040).

Almost surely, 2^1601366340 is an apocalyptic number.

1601366340 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 1601366340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772725760).

1601366340 is an abundant number, since it is smaller than the sum of its proper divisors (3944085180).

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

1601366340 is a wasteful number, since it uses less digits than its factorization.

1601366340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1601366340 is about 40017.0756052963. The cubic root of 1601366340 is about 1169.9399340922.

The spelling of 1601366340 in words is "one billion, six hundred one million, three hundred sixty-six thousand, three hundred forty".