1601408160 has 576 divisors, whose sum is σ = 6665742720. Its totient is φ = 345047040.

The previous prime is 1601408153. The next prime is 1601408167. The reversal of 1601408160 is 618041061.

1601408160 is a `hidden beast` number, since 1 + 601 + 40 + 8 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1601408153) and next prime (1601408167).

It is not an unprimeable number, because it can be changed into a prime (1601408167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5116164 + ... + 5116476.

It is an arithmetic number, because the mean of its divisors is an integer number (11572470).

Almost surely, 2^1601408160 is an apocalyptic number.

1601408160 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 1601408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332871360).

1601408160 is an abundant number, since it is smaller than the sum of its proper divisors (5064334560).

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

1601408160 is a wasteful number, since it uses less digits than its factorization.

1601408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1601408160 is about 40017.5981288233. The cubic root of 1601408160 is about 1169.9501184081.

The spelling of 1601408160 in words is "one billion, six hundred one million, four hundred eight thousand, one hundred sixty".