1601079840 has 288 divisors, whose sum is σ = 5806382400. Its totient is φ = 400619520.

The previous prime is 1601079827. The next prime is 1601079853. The reversal of 1601079840 is 489701061.

1601079840 is a `hidden beast` number, since 1 + 601 + 0 + 7 + 9 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1601079827) and next prime (1601079853).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1601079795 and 1601079804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3802830 + ... + 3803250.

It is an arithmetic number, because the mean of its divisors is an integer number (20161050).

Almost surely, 2^1601079840 is an apocalyptic number.

1601079840 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 1601079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903191200).

1601079840 is an abundant number, since it is smaller than the sum of its proper divisors (4205302560).

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

1601079840 is a wasteful number, since it uses less digits than its factorization.

1601079840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1601079840 is about 40013.4957233182. The cubic root of 1601079840 is about 1169.8701587231.

The spelling of 1601079840 in words is "one billion, six hundred one million, seventy-nine thousand, eight hundred forty".