1601184160 has 24 divisors (see below), whose sum is σ = 3782797956. Its totient is φ = 640473600.

The previous prime is 1601184149. The next prime is 1601184191. The reversal of 1601184160 is 614811061.

It can be written as a sum of positive squares in 2 ways, for example, as 1399657744 + 201526416 = 37412^2 + 14196^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5003541 + ... + 5003860.

Almost surely, 2^1601184160 is an apocalyptic number.

1601184160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601184160 is an abundant number, since it is smaller than the sum of its proper divisors (2181613796).

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

1601184160 is a wasteful number, since it uses less digits than its factorization.

1601184160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007416 (or 10007408 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1601184160 is about 40014.7992622730. The cubic root of 1601184160 is about 1169.8955662015.

It can be divided in two parts, 1601 and 184160, that added together give a square (185761 = 431²).

The spelling of 1601184160 in words is "one billion, six hundred one million, one hundred eighty-four thousand, one hundred sixty".