1601363540 has 48 divisors (see below), whose sum is σ = 3855503232. Its totient is φ = 547291776.

The previous prime is 1601363513. The next prime is 1601363563. The reversal of 1601363540 is 453631061.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26339 + ... + 62421.

It is an arithmetic number, because the mean of its divisors is an integer number (80322984).

Almost surely, 2^1601363540 is an apocalyptic number.

1601363540 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 1601363540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927751616).

1601363540 is an abundant number, since it is smaller than the sum of its proper divisors (2254139692).

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

1601363540 is a wasteful number, since it uses less digits than its factorization.

1601363540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36416 (or 36414 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 1601363540 is about 40017.0406202158. The cubic root of 1601363540 is about 1169.9392522091.

The spelling of 1601363540 in words is "one billion, six hundred one million, three hundred sixty-three thousand, five hundred forty".