1601478760 has 48 divisors (see below), whose sum is σ = 4191630660. Its totient is φ = 549077760.

The previous prime is 1601478743. The next prime is 1601478787. The reversal of 1601478760 is 678741061.

It can be written as a sum of positive squares in 2 ways, for example, as 1579744516 + 21734244 = 39746^2 + 4662^2 .

It is a super-3 number, since 3×1601478760³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406581 + ... + 410500.

Almost surely, 2^1601478760 is an apocalyptic number.

1601478760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601478760 is an abundant number, since it is smaller than the sum of its proper divisors (2590151900).

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

1601478760 is a wasteful number, since it uses less digits than its factorization.

1601478760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817106 (or 817095 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 1601478760 is about 40018.4802310133. The cubic root of 1601478760 is about 1169.9673110403.

The spelling of 1601478760 in words is "one billion, six hundred one million, four hundred seventy-eight thousand, seven hundred sixty".