1601075840 has 256 divisors, whose sum is σ = 4844689920. Its totient is φ = 492355584.

The previous prime is 1601075771. The next prime is 1601075867. The reversal of 1601075840 is 485701061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1601075797 and 1601075806.

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 31 ways as a sum of consecutive naturals, for example, 2154509 + ... + 2155251.

It is an arithmetic number, because the mean of its divisors is an integer number (18924570).

Almost surely, 2^1601075840 is an apocalyptic number.

1601075840 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 1601075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422344960).

1601075840 is an abundant number, since it is smaller than the sum of its proper divisors (3243614080).

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

1601075840 is a wasteful number, since it uses less digits than its factorization.

1601075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 1601075840 is about 40013.4457401509. The cubic root of 1601075840 is about 1169.8691844880.

It can be divided in two parts, 160 and 1075840, that multiplied together give a square (172134400 = 13120²).

The spelling of 1601075840 in words is "one billion, six hundred one million, seventy-five thousand, eight hundred forty".