1601484720 has 160 divisors (see below), whose sum is σ = 5430723840. Its totient is φ = 387179520.

The previous prime is 1601484679. The next prime is 1601484791. The reversal of 1601484720 is 274841061.

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

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 31 ways as a sum of consecutive naturals, for example, 1443526 + ... + 1444634.

It is an arithmetic number, because the mean of its divisors is an integer number (33942024).

Almost surely, 2^1601484720 is an apocalyptic number.

1601484720 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 1601484720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715361920).

1601484720 is an abundant number, since it is smaller than the sum of its proper divisors (3829239120).

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

1601484720 is a wasteful number, since it uses less digits than its factorization.

1601484720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1601484720 is about 40018.5546965405. The cubic root of 1601484720 is about 1169.9687624066.

The spelling of 1601484720 in words is "one billion, six hundred one million, four hundred eighty-four thousand, seven hundred twenty".